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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. set-theoretic complete intersections; monomial curves T. H. N. Nhan, Arch. Math. 99, 37 (2012). | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Euler-Poincaré characteristic; semi-algebraic set; complete intersection; signatures | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. abelian surfaces with rank 12; K3 surface; generating set of the Mordell-Weil group | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. second syzygy module of a homogeneous polynomial ideal B. Renschuch, ?Beiträge zur konstruktiven Theorie der Polynomideale. XXI. Syzygienberechnung bei möglichen Reduktionen auf Potenzproduktideale,? Wiss. Z. Päd. Hochsch. K. Liebknecht Potsdam.,29, No. l, 117?122 (1985). | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Mori dream space; Cox ring; class group; toric varieties; gale duality; the secondary fan; GKZ decomposition; good and geometric quotient; fan matrix; weight matrix; nef cone; moving cone; pseudo-effective cone; Picard number; bunch of cones; irrelevant ideal and locus; completion; completion of fans; minimal model program; small modification; rational contraction | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. line; conic; rational curve; Fano threefold; projective hypersurface; complete intersection; Fano scheme; Abel-Jacobi mapping | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. ideal of a homogeneous surface; rational parametrisation; Rees algebra; analytic spread; Gröbner basis Giménez Ph., Morales M., Simis A.: The analytic spread of the ideal of a monomial curve in projective 3-space, Progress in Math. Vol. 109 (1992), 77--90. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection; low codimensional submanifold; dual variety; normal bundle; Chern classes; positive vector bundle; defect of a projective variety Holme, A., A combinatorial proof of the duality defect conjecture in codimension 2, Discrete math., 241, 1-3, 363-378, (2001) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. valuation; complete ideals; plane curve; resolution of singularities Cossart, V.; Moreno-Socias, G.: Racines approchees, suites génératrices, suffisance des jets. Ann. fac. Sci. Toulouse math. (6) 14, No. 3, 353-394 (2005) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. abelian variety; Jacobian; Néron-Tate height; local Néron pairing; conjecture of Birch and Swinnerton-Dyer; Cartan modular curve of level 13 | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. abelian modular functions; algebraic surfaces; arithmetic groups; automorphic forms; automorphic functions; automorphic L-functions; bounded homogeneous domains; cuspidal automorphic representations; discrete groups; distinguished representations; distribution of prime numbers; Euler subgroups; functions of several complex variables; generalized Ramanujan conjecture for (quasi)-split groups Piatetski-Shapiro, I.: Selected works of ilya piatetski-shapiro, (2000) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. ideal transform modules; local cohomology modules; prime submodules; sheaf of modules; Zariski topology | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Koszul algebra; minimal free resolution; Hilbert series; Poincaré-Betti series; set of points of \(\mathbb{P}^n\); Koszul filtration Conca, Aldo; Trung, Ngô Viêt; Valla, Giuseppe, Koszul property for points in projective spaces, Math. scand., 89, 201-216, (2001) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. holomorphic differential forms; regular differential forms; analytic local algebra; affine algebra; De Rham algebra; residue complex; normal complete intersection; module of derivations M. Kersken, ''Reguläre Differentialformen,'' Manuscripta Math., \textbf{46}:1 (1984), 1-25. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Viro's theorem; real algebraic set; complete intersections; mixed decompositions of Newton polytopes; number of real points B. Sturmfels, \textit{Viro's theorem for complete intersections}, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 21 (1994), pp. 377--386. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. basic sequence of homogeneous ideal in a polynomial ring; Weierstrass polynomials; free resolutions; local cohomology; graded Buchsbaum rings Amasaki M.: Application of the generalized Weierstrass preparation theorem to the study of homogeneous ideals. Trans. Am. Math. Soc. 317, 1--43 (1990) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. rational point; complete intersection of two quadrics; weak approximation; rational varieties J.-L. Colliot-Thélène and A. N. Skorobogatov, Approximation faible pour les intersections de deux quadriques en dimension \(3\) , C. R. Acad. Sci. Paris Sér. I Math. 314 (1992), no. 2, 127-132. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. unexpected hypersurface; Hilbert function; generic initial ideal; partial elimination ideal; complete intersection; AV-sequence | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. almost complete intersection; almost Cohen-Macaulay algebra; birational mapping; Castelnuovo regularity; extremal Rees algebra; Hilbert function; module of nonlinear relations; Rees algebra; relation type; Sally module Hong, J; Simis, A; Vasconcelos, WV, Extremal Rees algebras, J. Comm. Algebra, 5, 231-267, (2013) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Picard group; polarized generic \(K3\) surface; zero set of section of homogeneous vector bundle Mukai, S.: Polarized \(K3\) surfaces of genus 18 and 20. In: Complex projective geometry (Trieste, 1989/Bergen, 1989), volume 179 of London Math. Soc. Lecture Note Ser., pp. 264-276. Cambridge University Press, Cambridge (1992) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Leech lattice; Mordell-Weil lattice; elliptic curves; function field of a hyperelliptic curve; minimal vectors N. D. Elkies, ''Mordell-Weil lattices in characteristic 2, II: The Leech lattice as a Mordell-Weil lattice,'' Invent. Math., vol. 128, iss. 1, pp. 1-8, 1997. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. tensor product of sheaf of regular 1-forms; Young tableau; vanishing theorems; complete intersection; Lefschetz type theorems Brückmann, P; Rackwitz, H-G, T-symmetrical tensor forms on complete intersections, Math. Ann., 288, 627-635, (1990) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. minimal free resolution of homogeneous coordinate ring; elliptic ruled surface; very ample line bundle; adjoint bundle; Koszul cohomology; cohomology vanishings Gallego, F.J.; Purnaprajna, B.P., Higher syzygies of elliptic ruled surfaces, J. Algebra, 186, 626-659, (1996) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Gröbner bases; Hilbert functions; homogeneous rings; graded rings; Cayley-Bacharach property; gradings; minimal homogeneous system of generators; minimal resolution conjecture; multivariante Hilbert series; CoCoA; SAGBI bases; automatic theorem proving M. Kreuzer and L. Robbiano, \textit{Computational Commutative Algebra 2}, Springer Science & Business Media, 2005. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. variety of nilpotent elements; restricted Lie algebra; automorphism group; nilpotent orbits; invariant polynomial; complete intersection | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. symmetric algebra; codimension; defect; minimal numbers of generators; Krull dimension; linear representations; algebras of invariants; symmetric and alternating groups; irreducible representations | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. toric variety; set-theoretic complete intersection; affine semigroup; p-gluing | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. set-theoretic complete intersections; smooth affine curve; self-linked perfect ideals Giuseppe Valla, On set-theoretic complete intersections, Complete intersections (Acireale, 1983) Lecture Notes in Math., vol. 1092, Springer, Berlin, 1984, pp. 85 -- 101. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. elementary category; complete categories; cocomplete categories; homology theory for the category of cosheaves; generating family of projective objects; injectives; abelian category; tensor product; hom-functors; hyperhomology for cosheaves; homology of cosheaves; cohomology of sheaves; taut spaces; Kronecker product; cap-product; singular homology J.-P. Schneiders, Cosheaves homology , Bull. Soc. Math. Belg. Sér. B 39 (1987), 1--31. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. polar curve; order of contact; plane curve singularity; Milnor number; local intersection numbers; equisingularity Ephraim R.: Special polars and curves with one place at infinity. Proceedings of the Symposium on Applied Mathematics, vol. 40, Part 1, pp. 353--359. American Mathematical Society, Providence (1983) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. branch of curve; infinitely near point; monomial curve; desingularization multiplicity sequence | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. elliptic curve with good reduction everywhere; number of torsion points; Nero-Tate canonical height; polynomial bound Hindry, M.; Silverman, J., Sur le nombre de points de torsion rationnels sur une courbe elliptique, Comptes Rendus de l'Académie des Sciences. Série I. Mathématique, 329, 97-100, (1999) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. residues of complex analytic foliation singularities; residues of Chern classes; foliation of complete intersection type; rationality conjecture T. Suwa. Residues of complex analytic foliation singularities. J. Math. Soc. Japan., 36 (1984), 37--45. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. curve neighborhoods; Gromov-Witten theory; homogeneous spaces; minimal degrees; quantum cohomology | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. formal group of the Jacobian of a complete nonsingular algebraic curve; holomorphic differentials; rational non-Weierstrass point; modular curve; cusp forms DOI: 10.2140/pjm.1993.157.241 | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. deformation of complete intersection | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. number of integral points; rank of the group of rational points on an elliptic curve; rational points on the Jacobian variety; lower bound for the canonical height on elliptic curves; twisted Catalan curves ----,A quantitative version of Siegel's theorem, J. reine ang. Math.378 (1987), 60--100 | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. quasi-complete intersection; almost complete intersections Stückrad, J. (1992). On quasi-complete intersections. Archiv der Mathematik 58, 529--538. | 1 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Maple; Macaulay 2; Castelnuovo-Mumford regularity; generator of Hilbert scheme; monomial ideal Sturmfels, B.: Four counterexamples in combinatorial algebraic geometry. J. Algebra 230, 282--294 (2000) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Bogomolov-Miyaoka-Yau inequality; arithmetic surfaces; effective bounds on the heights of rational points; bounding the minimal discriminant of an elliptic curve; Fermat curves; elliptic fibrations | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. generator of set of rational points on a curve; elliptic curve; generalized Riemann hypothesis Gupta, Rajiv, Division fields of \(Y^2 = X^3 - a X\), J. number theory, 34, 335-345, (1990) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. surface of general type; canonical ring; weighted complete intersection | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. minimal number of generators of homogeneous ideals; Castelnuovo function; standard basis; splitting principle Davis, E.D.: Complements to a paper of Dubreil. (Preprint) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. graded Betti number; zero-dimensional scheme; finite set of general points; minimal resolution conjecture; points on curves Mustaţă, M., Graded Betti numbers of general finite subsets of points on projective varieties, Matematiche, 53, 53-81, (1998) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. degree; rank; canonical divisor; codimension 2 smooth submanifold; complete intersection Ballico, E.; Chiantini, L., On smooth subcanonical varieties of codimension \(2\) in \({\mathbb{P}}^n\), \(n\geq 4\), Ann. Mat. Pura Appl. (4), 135, 99-117, (1983) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. defining ideals of affine monomial curves; relation matrix; almost complete intersections Gastinger W., Über die Verschwindungsideale monomialer Kurven (1989) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. C-M type; number of generators; free resolution of homogeneous coordinate ring; primary monomial ideals in polynomial ring; points in the projective space; combinatorial point of view Geramita A. V., Gregory D., Roberts L.,Monomial ideals and points in projective space, preprint 1983. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. set-theoretic complete intersections; monomial curves | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. modular height; Arakelov metric; Poincaré metric; modular parametrization of a semi-stable elliptic curve; modular curve Abbes, A.; Ullmo, E., Comparaison des métriques d'arakelov et de Poincaré sur \(X_0(N)\), Duke Math. J., 80, 2, 295-307, (1995) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Galois structure; elliptic curves; Hopf orders; principal homogeneous space; explicit determination of generators; group schemes; \(p\)-adic \(L\)-function of an elliptic curve; elliptic units; Picard invariant Cassou-Noguès, Structures galoisiennes et courbes elliptiques, J. Théor. Nombres Bordeaux 7 pp 307-- (1995) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Lang conjecture; elliptic curve; Neron-Tate height of nontorsion point; rational points; integral j-invariant; nontorsion points Silverman, J. H.: The Néron-Tate height on elliptic curves, (1981) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. rational points; quasi-projective algebraic variety; canonical height; polarized varieties; asymptotic formula; toric varieties; singular Fano varieties; homogeneous spaces; cubic hypersurfaces V.\ V. Batyrev and Y. Tschinkel, Tamagawa numbers of polarized algebraic varieties, Nombre et répartition de points de hauteur bornée (Paris 1996), Astérisque 251, Société Mathématique de France, Paris (1998), 299-340. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. finitely generated divisor class group; isolated singularity of complete intersection | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Koszul complex; homomorphism of symmetric algebras; almost complete intersection; Rees ring Restuccia G.,Formes linéaires et algèbres symétriques, Bull. Sc. Math.,110 (1986), 391--410. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. diffeomorphism types of connected sums of algebraic surfaces; complete intersections; simply connected elliptic surfaces; odd intersection form; connected sum of \(\pm {\mathbb{C}}P^ 2\prime s\); embedded spheres of positive square | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. action of the Hecke operators on the height of points on a modular curve; torsion of an elliptic curve; non torsion points in the jacobian J. H. Silverman, Hecke points on modular curves, Duke Math. J. 60 (1990), 401--423. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Gorenstein modules; complete intersections; quasihomogeneous isolated singulrities; hypersurface singularity; jacobian ideal; minimal Cohen- Macaulay approximations Herzog, Jürgen; Martsinkovsky, Alex: Gluing Cohen-Macaulay modules with applications to quasihomogeneous complete intersections with isolated singularities, Comment. math. Helv. 68, No. 3, 365-384 (1993) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Clifford algebras; Euler characteristics; Quadratic fibrations; mirror symmetry; string theory; Calabi-Yau manifolds; nonlinear sigma models; Calabi-Yau manifolds; superstring theory; mirror symmetric pair; symplectic; Fukaya category; bounded derived category; Homological Projective Duality; complete intersection of quadrics; Lefshetz decomposition; non-commutative algebraic variety; Clifford non-commutative varieties; Hodge numbers; Batyrev's stringy Hodge numbers; Clifford-stringy Euler characteristics | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Bernstein polynomial; Bézier curve; Bézoutian matrix; fast fraction-free algorithm; triangular factorization; Gaussian elimination; computer aided geometric design (CAGD); computer graphics; intersection points; Bernstein basis; resultant of polynomials D. A. Bini, L. Gemignani, and J. R. Winkler, \textit{Structured matrix methods for CAGD: An application to computing the resultant of polynomials in the Bernstein basis}, Numer. Linear Algebra Appl., 12 (2005), pp. 685--698, . | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. isolated singularity of a complex curve; algebraic link; plane curve singularities; iterated torus link; positive closed braid; minimal closed braid representative | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection curve; linear series Ciro Ciliberto and Robert Lazarsfeld, On the uniqueness of certain linear series on some classes of curves, Complete intersections (Acireale, 1983) Lecture Notes in Math., vol. 1092, Springer, Berlin, 1984, pp. 198 -- 213. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Hodge type of a subvariety; vanishing theorem; complete intersection H. Esnault, Hodge type of subvarieties of \(\mathbb{P}^n\) of small degrees, Math. Ann., 288 (1990), 549--551. | 0 |
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection; Chow ring of the moduli space of stable curves of genus 4; tautological class Carel Faber, Chow rings of moduli spaces of curves. I. The Chow ring of \overline{\Cal M}\(_{3}\), Ann. of Math. (2) 132 (1990), no. 2, 331 -- 419. , https://doi.org/10.2307/1971525 Carel Faber, Chow rings of moduli spaces of curves. II. Some results on the Chow ring of \overline{\Cal M}\(_{4}\), Ann. of Math. (2) 132 (1990), no. 3, 421 -- 449. | 0 |
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. polynomial ideals; complete intersection; ring of polynomials; localisation problem; membership problem; representation problem; Chow forms L. Caniglia, J. A. Guccione, and J. J. Guccione, Local Membership Problems for Polynomial Ideals, inEffective Methods in Algebraic Geometry, T. Mora and C. Traverso, eds., Progress in Math.94, Birkhäuser (1991), 31-45. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. toric discrete geometry; crepant birational morphisms; minimal models; desingularizations; toric local complete intersection singularities Dimitrios I. Dais, Christian Haase, and Günter M. Ziegler, All toric local complete intersection singularities admit projective crepant resolutions, Tohoku Math. J. (2) 53 (2001), no. 1, 95 -- 107. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. standard basis; Gröbner basis; syzygies of a canonical curve; equations of Petri's type; non-minimal resolution; reducible canonical curves; Green's conjecture; second syzygy module; Hilbert's syzygy theorem Milnor, J.: On the 3-dimensional Brieskorn manifolds \textit{M(p, q, r)}. In: Neuwirth, L.P. (ed.) Knots, Groups, and 3-Manifolds (Papers Dedicated to the Memory of R. H. Fox), pp. 175-225. Princeton Univ. Press, Princeton, N. J. (1975) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. \(p\)-adic height pairing; Jacobian variety; arithmetic intersection theory; differentials of the third kind; de Rham cohomology R. F. Coleman and B. H. Gross, ''\(p\)-adic heights on curves,'' in Algebraic Number Theory, Adv. Stud. Pure Math. 17, Academic Press, Boston, 1989, 73--81. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. curves on normal cones; set theoretically a complete intersection | 0 |
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. regular rigid analytic spaces of finite genus; analytic spaces which are the complement of a compact set in an algebraic curve Liu, Q, Ouverts analytiques d'une courbe algébrique en géométrie rigide, Annales de l'Institut Fourier, 37, 39-64, (1987) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. complete intersection of grade \(g\); structure theorem DOI: 10.4134/BKMS.2009.46.4.657 | 0 |
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. set-theoretic complete intersection ideals; arithmetical rank; edge ideals; whiskers; sunlet graphs; cactus graphs Macchia, A, On the set-theoretic complete intersection property for the edge ideals of whisker graphs, Serdica Math. J., 40, 41-54, (2014) | 0 |
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. root of a polynomial; deterministic algorithm; integral domain; polynomial ring; arithmetic complexity; algebraic-geometric code; principal prime ideal | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. vanishing of the cotangent modules; linkage class of a complete intersection Ulrich, B.: Vanishing of cotangent functors. Math. Z. 196, 463-484 (1987) | 0 |
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quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. finite fields; function field; hyperelliptic curve; moments of quadratic Dirichlet L-function; prime polynomial Andrade, J. C.; Keating, J. P., Mean value theorems for \textit{L}-functions over prime polynomials for the rational function field, Acta Arith., 161, 4, 371-385, (2013) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. finite dimensional algebras; categories of finitely generated left modules; affine varieties; tame quasi-tilted algebras; directing modules; complete intersections Grzegorz Bobiński and Andrzej Skowroński, Geometry of modules over tame quasi-tilted algebras, Colloq. Math. 79 (1999), no. 1, 85 -- 118. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. subcanonical curves on smooth surfaces; space curves; non-complete intersection; existence of effective divisors; Picard group | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. non vanishing of first cohomology group; non complete intersection; curves in projective 3-space | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. very ampleness; canonical curve; finite cover; homogeneous rings of a projective variety; finite morphism; Calabi-Yau threefolds F. J. Gallego and B. P. Purnaprajna, Some homogeneous rings associated to finite morphisms, Preprint. To appear in ``Advances in Algebra and Geometry'' (Hyderabad Conference 2001), Hindustan Book Agency (India) Ltd. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. zero scheme of a section of a rank 2 vector bundle; minimal number of equations; set theoretically defined by n equations | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. fat points; minimal set of generators; minimal free resolution; Hilbert function A. Gimigliano and M. Idà, The ideal resolution for generic 3-fat points in \Bbb P², J. Pure Appl. Algebra 187 (2004), no. 1-3, 99 -- 128. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. family of complete algebraic curve; semigroup of non-gap orders | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Heyting valued set theory; algebraic geometry; complete Heyting algebra of radical ideals; scheme theory | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. number of generators of ideals; Cohen-Macaulay type; Hilbert function of the coordinate ring; minimal free resolution; least degree of a nonsingular curve Geramita, A. V.; Maroscia, P., The ideal of forms vanishing at a finite set of points in \(\mathbb{P}^n\), J. Algebra, 90, 528-555, (1984) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. Zeta function; Poincaré series; monodromy; irreducible plane curve singularity; complete intersection Jan Stevens, ''Poincaré series and zeta function for an irreducible plane curve singularity,'' Preprint math.AG/0310215, to appear in Bull. London Math. Soc. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. normal cubics; set-theoretic complete intersection; not a complete intersection | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. canonical algebras; module varieties; complete intersections; algebras of semi-invariants; representation spaces of quivers; Auslander-Reiten translations; homogeneous dimension vectors G. Bobiński, On the zero set of semi-invariants for homogeneous modules over canonical algebras, J. Algebra (in press) | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. non-simply connected Calabi-Yau threefolds; free quotients of complete intersection Calabi-Yau manifolds L.B. Anderson, \textit{Heterotic and M-theory Compactifications for String Phenomenology}, arXiv:0808.3621 [INSPIRE]. | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. elliptic curve; continued fraction expansion; reduction modulo prime ideal; point exponentiation | 0 |
quasi-complete intersection; monomial curve; codimension 2; minimal generating set; homogeneous prime ideal of height 2 H. Bresinsky, P. Schenzel, and J. Stückrad, Quasi-complete intersection ideals of height 2, J. Pure Appl. Algebra 127 (1998), no. 2, 137 -- 145. multiplicity of primary ideal; prime ideal; multiplicity of algebraic varieties Samuel, P, La notion de multiplicité en algèbre et en géométrie algébrique, J. Math. Pures Appl., 9, 159-274, (1951) | 0 |
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