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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. algebra of invariants; reductive group action; complete intersection; spherical variety; deformation Panyushev D.: On deformation method in invariant theory. Ann. Inst. Fourier Grenoble 47(4), 985--1012 (1997)
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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. symmetric monodromy groups of singularities; reflection subgroup; complete vanishing lattice; middle homology group of Milnor fibre; vanishing cycles; isolated hypersurface singularities; complete intersection singularities Ebeling W.: An arithmetic characterisation of the symmetric monodromy groups of singularities. Invent. Math. 77(1), 85--99 (1984)
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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. minimal resolution of space curve; projective space; kernel of the generic morphism; natural cohomology Ellia, P.; Hirschowitz, A., Voie ouest. I. Génération de certains fibrés sur les espaces projectifs et application, J. Algebr. Geom., 1, 531-547, (1992)
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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. first infinitesimal neighborhood; arithmetically Cohen-Macaulay; complete intersection; numerical character of a general plane section; Hilbert function; fat points
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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. generic initial ideal; lexicographic term; character of a space curve; general hyperplane sections Cook, M.: The connectedness of space curves invariants. Compositio Math. 111, 221--244 (1998)
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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. singularities; affine surface of log-general type; minimal embedded resolution; Euler characteristic; rational cuspidal curve; sequence of multiplicities T. Fenske, Rational cuspidal plane curves of type {(d,d-4)} with {\({\chi}\)(\({\Theta}\)_{V}\(\langle\) D\(\rangle\))\(\leq\) 0}, Manuscripta Math. 98 (1999), no. 4, 511-527.
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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. monomial curve; symmetric numerical semigroup; gluing; Gorenstein; Hilbert function of a local ring; Rossi's conjecture Arslan, F.; Sipahi, N.; Şahin, N., Monomial curve families supporting Rossi's conjecture, J. symbolic comput., 55, 10-18, (2013)
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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. multiplier ideal; monomial space curve; toric variety; lattice
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 points in projective space; Cohen-Macaulay; minimal resolution conjecture Ballico, E., Geramita, A.V.: The minimal free resolution of the ideal of s general points in \(\(\mathbb {P}^3\)\). In: Proceedings of the 1984 Vancouver Conference in Algebraic Geometry, pp. 1-10. CMS Conference Proceeding, vol. 6. American Mathematical Society, Providence (1986)
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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. Hilbert polynomial; smooth sub-varieties of projective N-space; numerical invariants; curve generating algorithms
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. liaison classes; minimal curve; minimal free resolution; generic initial ideal Francisco, CA; Migliore, J; Nagel, U, On the componentwise linearity and the minimal free resolution of a tetrahedral curve, J. Algebra, 299, 535-569, (2006)
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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. \(p\)-adic Dwork cohomology; smooth complete intersection; projective space over finite field; \(p\)-adic estimates for the action of Frobenius; Newton polygon of the characteristic polynomial of Frobenius Adolphson, A.; Sperber, S., On the zeta function of a projective complete intersection, Illinois Journal of Mathematics, 52, 389-417, (2008)
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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. tower set; tower scheme; aCM squarefree monomial ideal Favacchio, G.; Ragusa, A.; Zappalà, G.: Tower sets and other configurations with the Cohen-Macaulay property. J. pure appl. Algebra 219, 2260-2278 (2015)
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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. Cohen-Macaulay modules over curve singularities; Gorenstein modules; deformation theory; complete intersection; hypersurface singularity; singular; signature pairing; Euler numbers; Betti numbers; Jacobians
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 Dwork cohomology; Katz conjecture; exponential modules; twisted de Rham theory; zeta function of the complete intersection; Weil conjectures; characteristic polynomial; Newton polygon; Hodge polygon; hypersurfaces; middle-dimensional cohomology Adolphson, A.; Sperber, S., On the zeta function of a complete intersection, Ann. Sci École Norm. Sup., 4, 287-328, (1996)
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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. symbolic powers; codimension two; arithmetically Cohen-Macaulay; locally complete intersection; points in \(\mathbb P^1 \times \mathbb P^1\)
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. compactifications; quasi-homogeneous varieties; deformations of actions; Schwartz-Christoffel transformation; moduli spaces of polygons; hyperbolic polyhedra
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. powers of ideal; ideal of rational normal curve; linear resolution; Hilbert function; Hilbert polynomial DOI: 10.1016/S0022-4049(99)00146-2
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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. proper intersection condition of schemes; perfect homogeneous ideals Renschuch, B., Vogel, W.: Perfektheit und die Umkehrung des B?zoutschen Satzes. Math. Nachr.148, 313-323 (1990)
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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. algebraic geometry codes of V. D. Goppa; projective curve; finite field; parity-check matrices; rational points; prime divisors of degree 1; algebraic function field
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. algebra of invariants; coisotropy representation; connected reductive algebraic group; quasi-projective homogeneous 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. diagonal cycle; triple product of a pointed curve; regular models; semi-stable reduction; height pairing; \(L\)-functions; modular curve Gross, B. H.; Schoen, C., \textit{the modified diagonal cycle on the triple product of a pointed curve}, Ann. Inst. Fourier (Grenoble), 45, 649-679, (1995)
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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 matrix of grade 4; linked ideals; complete intersection of grade 4 DOI: 10.1142/S1005386705000179
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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. algebraic points; Tarski system; algebraic nonsingular points; definable set; o-minimal structure; analytic cell decomposition; semialgebraic points; degree of complexity
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; primary decomposition of ideals
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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 Null curve; proper holomorphic immersion; complete minimal immersion Alarcón, A.; Forstnerič, F., Every bordered Riemann surface is a complete proper curve in a ball, Math. Ann., 357, 1049-1070, (2013)
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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. liaison; linked schemes; Hilbert functions; complete intersection; locally Cohen-Macaulay subschemes of \(P^ n\); speciality
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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. power of a complete intersection; free resolutions; Herzog-Huneke-Srinivasan conjecture; complete intersection; Eagon-Northcott complex; fat points E. Guardo, A. Van Tuyl, Powers of complete intersections: Graded Betti numbers and applications, Illinois J. Math., in press
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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. resolutions; homogeneous ideal of point; Green-Lazarsfeld conjecture D. Eisenbud and J.-H. Koh, ''Remarks on points in a projective space,'' in Math. Sci. Res. Inst. Publ. Berkeley, CA, 1987, Vol. 15: Commutative Algebra (Springer, New York, 1989), pp. 157--172.
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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. locally Cohen-Macaulay subschemes; Lazarsfeld-Rao property; Rao correspondence; linkage; codimension two; liaison; complete intersection S. Nollet \({ref.surNamesEn}, Even linkage classes,, \)Trans. Amer. Math. Soc.\(, 348, 1137, (1996)\)
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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. definable fundamental group; definable set; o-minimal expansion of a field; o-minimal von Kampen theorem; simplicial complex; definable manifold; geometrical realization; topological manifold A. Berarducci and M. Otero, O-minimal fundamental group, homology and manifolds, Journal of the London Math. Soc. (2) 65 (2002), 257--270.
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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. linkage; set-theoretic complete intersection curves in 3-space
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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. weighted dual intersection graph of the minimal resolution of a perfect surface singularity; Diophantine questions; partial fraction representations; continued fractions; Egyptian fractions Brenton, D.; Drucker, D., Perfect graphs and complex surface singularities with perfect local fundamental group, Tohoku Math. J., 41, 507-525, (1989)
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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. 3-dimensional homology spheres; link of a complete intersection surface singularity; Milnor fibre; Casson invariant; graph manifold; rational homology spheres Neumann, W.; Wahl, J.: Casson invariant of links of singularities. Comment. math. Helv. 65, 58-78 (1990)
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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. intersection of quadrics; nonhyperelliptic curve; trigonal invertible sheaves
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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. theory of invariants; complete intersection; CI-groups Gordeev, N. L., Finite linear groups whose algebra of invariants is a complete intersection, Izv. Akad. Nauk SSSR Ser. Mat., 0373-2436, 50, 2, 343-392, (1986)
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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. Bordiga surface; set-theoretical complete intersection; double structure Rathmann, J.: Double structures on bordiga surfaces. Comm. algebra 17, 2363-2391 (1989)
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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. families of complete intersection singularities with constant Milnor number Y. Yomdin, The structure of strata \(\mu={const}\) in a critical set of a complete intersection singularity, In: Singularities. Part 2, Arcata, Calif., 1981, (ed. P. Orlik), Proc. Sympos. Pure Math., 40 , Amer. Math. Soc., Providence, RI, 1983, pp.,663-665.
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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. \(J\)-map; classification of minimal elliptic surfaces over a curve; minimal elliptic surfaces; genus 2 curve; singular fiber
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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. group of algebraic cycles of codimension p; rational equivalence; global height pairing Bloch, Spencer, Height pairings for algebraic cycles, Proceedings of the Luminy conference on algebraic \(K\)-theory (Luminy, 1983), 34, 2-3, 119-145, (1984)
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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. Wahl maps; minimal free resolution of nonlinearly normal embedded curves; Gaussian maps; non complete linear systems --------, On the minimal free resolution of some projective curves , Ann. Mat. Pura Appl.,
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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. prime submodule; Zariski topology; sheaf of rings; sheaf of modules; radical ideal Behboodi, M.; Sabzevari, M., Modules satisfying the prime and maximal radical conditions, J. Comm. Algebra, 6, 4, 505-524, (2014)
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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. elliptic curve cryptosystems; generation of prime order elliptic curves; complex multiplication; class field polynomials Elisavet Konstantinou, Aristides Kontogeorgis, Yannis C. Stamatiou, and Christos Zaroliagis, Generating prime order elliptic curves: difficulties and efficiency considerations, Information security and cryptology --- ICISC 2004, Lecture Notes in Comput. Sci., vol. 3506, Springer, Berlin, 2005, pp. 261 -- 278.
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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. locally complete intersection ideal --------, On set-theoretic intersection in affine spaces, J. Pure Appl. Alg. 51 (1988), 267--275.
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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. singularities; Lie algebra of vector fields; Hamiltonian vector fields; complete intersection; reduced tangent Lie algebra
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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. elliptic curve; twisted Jacobi intersection curve; complete addition law; cryptography
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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. Mordell-Weil group; Néron-Severi group of an elliptic surface; intersection theory; Mordell-Weil lattice of an elliptic surface; height pairing Tetsuji Shioda, ``On the Mordell-Weil lattices'', Comment. Math. Univ. St. Pauli39 (1990) no. 2, p. 211-240
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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. monomial ideals; arithmetical rank; complete intersection Jaballah, A.: Monomiale Ideale und mengentheoretische vollständige Durchschnitte. Erscheint in Arch. Math.
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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. rational points; affine varieties; finite fields; complete intersection; exponential sums; asymptotic formula; upper estimate; number of integral points \beginbarticle \bauthor\binitsW. \bsnmLuo, \batitleRational points on complete intersections over \(\F_p\), \bjtitleInt. Math. Res. Not. IMRN \bvolume1999 (\byear1999), page 901-\blpage907. \endbarticle \OrigBibText W. Luo, Rational points on complete intersections over \(\F_p\), Inter. Math. Res. Notices , 1999 (1999), 901-907. \endOrigBibText \bptokstructpyb \endbibitem
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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. normalization of integral surface; complete intersection
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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. horospherical varieties; rational homogeneous varieties; varieties of minimal tangents Hong, J., Smooth horospherical varieties of Picard number one as linear sections of rational homogeneous varieties. J, Korean Math. Soc., 53, 433-446, (2016)
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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. third order curves; plane curves; homogeneous functions; projectivity; involution; projective properties of conics; pencil of conics; polar properties; Steiner system; Hesse' curve; pencil of third order curves; Cayley' curve; cubic involution; Steiner's polygon; elliptic functions
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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. Hessian; flexes; algebraic curve; complete intersection Fernando Cukierman, Determinant of complexes and higher Hessians, Math. Ann. 307 (1997), no. 2, 225 -- 251.
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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. minimal surfaces of general type; Chern numbers; fundamental groups; braid monodromy; complement of the branch curve
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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. closures of 3-dimensional orbits of algebraic SL(2)-modules; height; minimal equivariant desingularization
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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. height functions; Jacobian surfaces; Jacobian variety of a hyperelliptic curve; Néron's local pairing; canonical local height at archimedean places; Birch and Swinnerton-Dyer conjecture Yoshitomi K.: On height functions on Jacobian surfaces. Manuscripta Math. 96, 37--66 (1998)
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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. variety of almost minimal degree; divisor; Betti diagram; low codimension; arithmetically Cohen-Macaulay; Veronese surface Brodmann, M., Schenzel, P.: On varieties of almost minimal degree in small codimension. J.\(\sim\)Algebra. Math. AC/0506279 (2006) (to appear)
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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. principal polarization; height function; Arakelov intersection theory; moduli scheme of abelian varieties
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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. conductor; upper bound for the Arakelov degree; Szpiro conjecture; Arakelov metric; bounding the height of a semi-stable elliptic curve; Weierstrass sections Frey, Gerhard; Kani, Ernst, Curves of genus \(2\) covering elliptic curves and an arithmetical application.Arithmetic algebraic geometry, Texel, 1989, Progr. Math. 89, 153-176, (1991), Birkhäuser Boston, Boston, MA
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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. vanishing theorem; monomial curve; licci ideal DOI: 10.1016/S0021-8693(03)00493-9
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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. quantum entanglement; local unitary invariants; SLOCC invariants; invariant rings; geometric invariant theory; complete set of invariants; density operators; tensor networks
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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. canonical height; hyperelliptic curve; curve of genus 2; Jacobian surface; Kummer surface J.S. Müller, M. Stoll, Canonical heights on genus two Jacobians. Algebra & Number Theory 10(10), 2153-2234 (2016)
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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; Cayley-Bacharach; Hilbert functions of linked ideals
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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. monodromy groups of singularities; symplectic lattices; vanishing homology of Lefschetz pencils; vanishing lattice; vanishing homology of an odd-dimensional isolated complete intersection singularity W.A.M. Janssen, ''Skew-symmetric vanishing lattices and their monodromy groups,'' Math. Ann. 266 (1983), 115--133
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