text
stringlengths 2
1.42k
| label
int64 0
1
|
|---|---|
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces multi-quasi-polarized manifold; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(k\)-spanned line bundle; \(k\)-very ample line bundle; \((k,a)\)-spannedness; adjoint bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira dimension; uniruled; rationally connected; normal bundle; canonical bundle Peternell, Th, Kodaira dimension of subvarieties, II, Int J Math, 17, 619-631, (2006) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira dimension; classification of complex algebraic surfaces; Picard group; Riemann-Roch Beauville, A.: Surfaces algébriques complexes. Astérisque, vol.~54 (1978) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces compactification; Fano manifold; Cremona transformation; Iskovskih classification; divisor with normal crossings; complete intersection; Kodaira dimension; ample divisor; Picard group | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus; irregularity | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Okounvkov body; ample line bundle; projective manifold; test-configuration; K-stability Boucksom, S.: Corps d'Okounkov (d'après Okounkov, Lazarsfeld-Mustata et Kaveh-Khovanskii). Séminaire Bourbaki no 1059 (2012) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth fibration; logarithmic pole; holomorphic one-form; zero locus; quasi-abelian variety; Kodaira dimension; Hodge module; Higgs bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quadratic normality; projective normality; very ample line bundle; algebraic surface; codimension 2 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces linear systems; very ample divisor class; line bundles; regular surfaces Chiantini, L; Markwig, T, Triple-point defective ruled surfaces, J. Pure Appl. Algebra, 212, 1337-1346, (2008) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundle; hyperplane section; canonical bundle; nef value; homogeneous variety; defect of the dual variety; self-dual homogeneous spaces; classification of real hypersurfaces D. Snow , The nef value and defect of homogeneous line bundles , à paraître. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces complex projective variety of dimension \(2m+1\); cylinder homomorphism; Abel-Jacobi map; very ample line bundles; vanishing cycles; complete intersection of odd dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle; hyperplane section; adjunction theory; classification of a normal Gorenstein n-dimensional projective variety; classification of 3-folds [Be+Bi+So] M. Beltrametti, A. Biancofiore, A.J. Sommese, Projective n-folds of log general type, I, Trans. Amer. Math. Soc.,314 (1989), 825--849 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces degree; sectional genus; \(\Delta \) -genus; adjunction theory; Reider's criterion; liaison; vector bundle Paltin Ionescu, Embedded projective varieties of small invariants. III, Algebraic geometry (L'Aquila, 1988) Lecture Notes in Math., vol. 1417, Springer, Berlin, 1990, pp. 138 -- 154. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces line bundle on algebraic curve; Wahl map; genus; hyperplane section of a \(K3\) surface Ciliberto, C. , Harris, J. , Miranda, R. : '' On the surjectivity of the Wahl map '', Duke Math. J. 57 (1988) 829-858. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifolds; adjunction theory; sectional genus T. Fujita, Classification of polarized manifolds of sectional genus two, the Proceedings of ''Algebraic Geometry and Commutative Algebra'' in Honor of Masayoshi Nagata (1987), 73--98. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifolds; adjoint bundles; nef and effective divisors; sectional genus Fukuma, Y., On a conjecture of beltrametti-sommese for polarized 4-folds, Kodai Math. J., 38, 343-351, (2015) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces rational surfaces; degree; sectional genus 20. H.-Ch. Graf von Bothmer and K. Ranestad, Classification of rational surfaces of degree 11 and sectional genus 11 in P4, Math. Scand.104 (2009) 60-94. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundle; Ulrich bundle; non-special surfaces; maximal Albanese dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces higher order embedding; \(n\)-connectedness; very ample line bundle; adjoint bundle Beltrametti, MC; Rocco, S; Lanteri, A, On higher order embeddings and n-connectedness, Math. Nachr., 201, 37-51, (1999) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces big line bundle; ample line bundle; volume; equivariant volume; GIT quotient | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Riemannian manifold; spinors; vortex equation; basic classes; positive scalar curvature; connected sum; algebraic surfaces; Seiberg-Witten invariants; orientation preserving diffeomorphism; Kodaira dimension Friedman R., Morgan J.: Algebraic Surfaces and Seiberg-Witten invariants. J. Algebraic Geom. 6, 445--479 (1997) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces foliations with singularities on projective manifolds; holomorphic curves; complex manifold; meromorphic vector field; line bundle; dimension of the versal deformation spaces; rational vector fields | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Hilbert scheme of points; stable vector bundles on surfaces; determinantal line bundle L. Scala, Dualité étrange de Le Potier et cohomologie du schéma de Hilbert ponctuel d'une surface , Gaz. Math. 2007 , no. 112, 53--65. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces secant loci; tangent cone; very ample line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces cotangent bundle; anti-Kodaira dimension T. Fujiwara,Varieties with semiample tangent bundle and of anti-Kodaira dimension one, Commentarii Math42 (1993), 139--142 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vanishing theorem for Koszul cohomology groups; equations defining a projective variety; syzygies; embedding; homogeneous coordinate ring; very ample line bundle Ein, L., Lazarsfeld, R.: Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension. Invent. Math. 111, 51--67 (1993) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces complex projective elliptic surface; nef line bundle; semipolarized surface; elliptic quasi-bundle; minimal surfaces Lanteri, A., Turrini, C.: Elliptic surfaces with a nef line bundle of genus two. Collect. Math. 49, 361--381 (1998) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces curve singularities; surface singularities; Iitaka's conjecture; Kodaira dimension; differential forms; vanishing theorems; Enriques-Kodaira classification; surfaces of general type; K3-surfaces; Enriques surfaces; Torelli theorem for marked K3-surfaces W. Barth, C. Peters and A. Van de Ven, \textit{Compact complex surfaces}, Springer, Germany (1984). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifolds; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces elliptic surface sections; very ample line bundle; minimal model; del Pezzo fiber space | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundle; positive line bundle; homogeneous Kähler manifold; blowing-up; Fermat hypersurface; holomorphic action of compact Lie group; representation ring; Grassmannian; twisted Dolbeault operator; Atiyah-Singer fixed point formula; representation ring of a compact Lie group | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundles; sectional geometric genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample cotangent bundles; function field; line bundle; geometric height; geometric logarithmic discriminant; height inequality Moriwaki, Atsushi, Geometric height inequality on varieties with ample cotangent bundles, J. Algebraic Geom., 4, 2, 385-396, (1995) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projective threefold; very ample line bundle; adjoint line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic curve; very ample line bundle; linear series; projectively normal; normally generated line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample vector bundle; curve genus Hidetoshi Maeda and Andrew J. Sommese, Very ample vector bundles of curve genus two, Arch. Math. (Basel) 79 (2002), no. 1, 74 -- 80. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces toric surface; ample line bundle; complete linear system; Riemann surface; monodromy representation; mapping class group; spin structure; admissible twist; discriminant locus; vanishing cycle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Hilbert scheme; Picard group; moduli scheme; degree; genus; universal curve; canonical line bundle; hyperplane bundle Ciliberto, C. : '' On rationally determined line bundles on a family of projective curves with general moduli '', Duke Math. J. 55 (1987) 909-917. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces canonical bundle; classification of polarized pairs; vector bundle; curve genus DOI: 10.1007/s000130050190 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Fano manifold; Kodaira dimension; semipositive curvature; positive of tangent bundle; classification; rational curves; Mori theory; unirationality; Hartshorne conjecture | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth curve; ample vector bundle; line bundle; complete intersections Campana, F; Flenner, H, A characterization of ample vector bundles on a curve, Math. Ann., 287, 571-575, (1990) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic surfaces; Kodaira dimension; Seifert fibration S. Yu. Orevkov, ''Acyclic algebraic surfaces bounded by Seifert spheres,''Osaka J. Math.,34, No. 2, 457--480 (1997). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundles; blown-up complex surfaces | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(K3\) surfaces; moduli spaces; Kodaira dimension; modular forms | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces arithmetic genus; numerically positive line bundles which are not ample A. Lanteri and B. Rondena, Numerically positive divisors on algebraic surfaces, Geom. Dedicata 53 (1994), 145-154. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces genus of Clifford curves; Clifford dimension; Clifford embedding; Clifford bundle; Castelnuovo formula Eisenbud, D. , Lange, H. , Martens, G. , Schreyer, F. : '' The Clifford dimension of a projective curve '', Conmpositio Math. 72 (1989), 173-204. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(k\)-very ample line bundle; higher order embedding [AP] Andreatta, M., Palleschi M.: On the 2 very ampleness of the adjoint bundle (with an appendix by E. Ballico). Manuscr. Math.73, 45--62 (1991) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira-type vanishing theorems; Frobenius amplitude; ample bundle D. Arapura, Frobenius amplitude and strong vanishing theorems for vector bundles, Duke Math. J. 121(2), 231--267 (2004). With an appendix by Dennis S. Keeler. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces normal generation of very ample line bundle on curve; general line bundle H. Lange, G. Martens, Normal generation of line bundles of degree 2p -- 2 on curves. Abh. Math. Sem. Univ. Hamburg55 (1985), 69--73 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Chern class; arithmetic variety; arithmetically ample Hermitian line bundle; arithmetic Bogomolov-Gieseker inequality; Bertini's theorem Moriwaki, A.: Arithmetic Bogomolov--Gieseker's inequality. Am. J. Math. 117, 1325--1347 (1995) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(k\)-jet ampleness; \(k\)-spannedness; ample line bundle; adjunction theory | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces generalized Albanese variety for surfaces; effective divisor; Kodaira dimension; generalized jacobians | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifold; adjoint bundles; Beltrametti-Sommese conjecture; sectional geometric genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundle; bielliptic curve; Fano manifold; zero locus; ample line bundle Lanteri A. and Maeda H. (2003). Ample vector bundles with zero loci having a bielliptic curve section. Collect. Math. 54: 73--85 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample divisor; line bundle; hypersurfaces Helmke, S, On global generation of adjoint linear systems, Math. Ann., 313, 635-652, (1999) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira dimension; rational surfaces; Enriques surfaces Wolfram Decker, Lawrence Ein, and Frank-Olaf Schreyer. Construction of surfaces in {\(P\)_4\(\). {J. Algebraic Geom.}, 2(2):185--237, 1993. zbl 0795.14019; MR1203684} | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces nef; jet; current; \(L^ 2\)-cohomology; Lelong number; very ample vector bundle; divisor; ample line bundles | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Chern class; ample line bundle; Bogomolov-Gieseker inequality A. Moriwaki, Semi-stably polarized fiber spaces and Bogomolov-Gieseker's inequality, to appear in J. Math. Kyoto Univ. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces line bundle, ample; threefold, smooth, projective; Seshadri constant; volume; base locus, stable; jets Cascini, P; Nakamaye, M, Seshadri constants on smooth threefolds, Adv. Geom., 14, 59-79, (2014) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle; vanishing theorem De Cataldo, M. A. A.: Vanishing via lifting to second Witt vectors and a proof of an isotriviality result. Journal of algebra 219, 255-265 (1999) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ruled surfaces; nef vector bundle; polarized projective manifold; nef value; rationality theorem; cotangent values; K3 surfaces; Calabi-Yau manifolds | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces 0-dimensional schemes; Hilbert function; cohomology; ample line bundle; fat points J. Alexander and A. Hirschowitz: ''An asymptotic vanishing theorem for generic unions of multiple points'', Invent. Math., Vol. 140, (2000), pp. 303--325. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces cohomological support varieties; line bundle cohomology; sheaf cohomology groups; semisimple algebraic groups; special linear groups; type \(A_2\) root systems; character formulas; generic dimension; quantum dimension Hardesty, W., Support varieties of line bundle cohomology groups for \(S L_3(k)\), J. Algebra, 448, 127-173, (2016) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces addition law; ample line bundle Lange H, Ruppert W. Complete systems of addition laws on abelian varieties [J]. Inventiones Mathematicae, 1985, 79: 603--610. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces modular diagonal quotient surfaces; modular curve; Kodaira dimension; Galois representation E. Kani and W. Schanz, ''Modular diagonal quotient surfaces,'' Math. Z., vol. 227, iss. 2, pp. 337-366, 1998. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Fujita conjecture; ample line bundle; multiplier ideal sheaf [S94b] Siu, Y.-T.: Very ampleness criterion of double adjoints of ample line bundles. Proceedings of the 1992 Princeton Conference in Honor of Gunning and Kohn, Ann. Math. Studies (to appear) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ampleness; jet ample vector bundle; ample line bundles | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjoint line bundle; generalized polarized varieties; spannedness; very ampleness Lanteri, A., Maeda, H.: Adjoint bundles of ample and spanned vector bundles on algebraic surfaces. J. reine angew. Math.433, 181--199 (1992) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus; classification of smooth projective surfaces | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic surface; zero set of a holomorphic one-form; genus of an irreducible curve; Kodaira's classification of surfaces M. J. Spurr, On the genus of an irreducible component of the zero set of a holomorphic one-form, Topics in several complex variables (Mexico, 1983) Res. Notes in Math., vol. 112, Pitman, Boston, MA, 1985, pp. 158 -- 163. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifolds; adjunction theory; nef bundle; big line bundle FANIA M.L. and SOMMESE A.J., ''On the projective classification of smooth n-folds with n even'', Ark. Mat. 27 (1989), 245--256. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Castelnuovo bound; dimension of a family of ruled surfaces; irregularity; ruled surfaces; curve in the grassmannian Eisenbud, D., Harris, J.: Curves in Projective Space. Sém. Math. Sup. \(85\) Les Presses de l'Université de Montréal (1982) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized log variety; nef bundle; log spectrum conjecture; Weil divisor; log-terminal singularities; log-Kodaira energy; log minimal model theory; Fano fibration Fujita T.: On Kodaira energy of polarized log varieties. J. Math. Soc. Japan 48(1), 1--12 (1996) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces classification of diffeomorphism types of some Kodaira elliptic surfaces; Euler number; genus of the base curve Y. Matsumoto: Diffeomorphism types of elliptic surfaces. Proc. Japan Acad., 61A, 55-58 (1985). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Bordiga surfaces; very ampleness of line bundle; hyperplane sections; blowing-up; embedded surfaces [Bi] Biancofiore, A.: On the hyperplane section of blow-ups of complex projective plane. Can. J. of Math.41, 1005--1020 (1989) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projective variety; ample line bundle; contraction of extremal face; fibration | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces fat base point; ample line bundle; higher-order embeddings; cyclic coverings; linear systems of plane curves | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces classification of basic surfaces; Kodaira dimension [PtD] Petrie, T., tom Dieck, T.: Contractible affine surfaces of Kodaira dimension one. Japan. J. Math.16 (no. 1), 147--169 (1990) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Riemannian manifold; basic classes; positive scalar curvature; Donaldson invariant; Seiberg-Witten invariants; diffeomorphism; Kodaira dimension; algebraic surfaces; plurigenera R. Friedman, ''Donaldson and Seiberg-Witten invariants of algebraic surfaces'' in Algebraic Geometry (Santa Cruz, Calif., 1995) , Proc. Sympos. Pure Math. 62 , Part 1, Amer. Math. Soc., Providence, 1997, 85--100. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces affine surfaces with finite Picard groups; logarithmic Kodaira dimension; logarithmic plurigenera | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces rational curves; logarithmic Kodaira dimension; open surfaces; graded roots J. Fernández de Bobadilla, I. Luengo, A. Melle-Hernández and A. Némethi, On rational cuspidal plane curves, open surfaces and local singularities, Singularity theory, World Scientific, Hackensack (2007), 411-442. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces equations defining abelian varieties; wonderful ring of sections; ample line bundle on an abelian variety G. Kempf, \textit{Projective coordinate rings of abelian varieties}, in: Algebraic Analysis, Geometry, and Number Theory (Baltimore, 1988), Johns Hopkins Univ. Press, Baltimore, 1989, 225--235. [KSS09]A. L. Knutsen, W. Syzdek, T. Szemberg, \textit{Moving curves and Seshadri constants}, Math. Res. Lett. 16 (2009), 711--719. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic surfaces over the algebraic closure of a finite field; Zariski decomposition of divisors; Kodaira-Iitaka dimension; numerical dimension; numerical type V. Maşek, Kodaira-Iitaka and numerical dimensions of algebraic surfaces over the algebraic closure of a finite field , Rev. Roumaine Math. Pures Appl. 38 (1993), 679-685. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces non-complete algebraic surfaces; surfaces with; logarithmic Kodaira dimension -\(\infty \); platonic fibre; space; affine ruledness Masayoshi Miyanishi and Shuichiro Tsunoda, Noncomplete algebraic surfaces with logarithmic Kodaira dimension -\infty and with nonconnected boundaries at infinity, Japan. J. Math. (N.S.) 10 (1984), no. 2, 195 -- 242. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces root systems; connected reductive algebraic group; projective variety; Borel subgroups; line bundles; orbits; tangent bundle; Weyl group; maximal tori; \(\ell\)-adic cohomology groups; virtual representation; characters; irreducible representations; multiplicities; irreducible components; intersection cohomology; Schubert cells; Weyl groups; Hecke algebras; enveloping algebras; complex reductive Lie algebras; unipotent representations G. Lusztig. Characters of reductive groups over a finite field, Ann. Math. Studies 107, Princeton University Press, 1984. ''BN13N22'' -- 2018/1/30 -- 14:57 -- page 225 -- #27 2018] QUANTIZATIONS OF REGULAR FUNCTIONS ON NILPOTENT ORBITS 225 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraicity of surface; elliptic surface; logarithmic transformation; Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira energy; polarized threefolds; spectrum conjecture Kollár, J.: Singularities of pairs. In: Algebraic Geometry, Santa Cruz 1995, Proc. Symp. Pure Math, vol. 62, pp. 221-287. Amer. Math. Soc., Providence (1997) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces elliptic curves with complex multiplication; curves of genus 2; Jacobians; product surfaces; abelian variety; Humbert invariant; binary and ternary quadratic forms; idoneal numbers; mass formula Kani, E., Jacobians isomorphic to a product of two elliptic curves and ternary quadratic forms, J. Number Theory, 139, 138-174, (2014) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli; geometric genus; minimal surface of general type; irregularity; Castelnuovo's bound I. Reider, Bounds on the number of moduli for irregular surfaces of general type, Manus. Math. 60, No. 2 (1988), 647-667. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces higher discriminants; multiplicity of the discriminant of a line bundle; Chern classes; cotangent bundle; Segre classes of the jacobian scheme P. Aluffi and F. Cukierman, Manuscripta Math., 78, 245--258 (1993); M. Chardin, J. Pure Appl. Algebra, 101, 129--138 (1995); L. Ducos, J. Pure Appl. Algebra, 145, 149--163 (2000); L. Busé and C. D'Andrea, C. R. Math. Acad. Sci. Paris, 338, 287--290 (2004); C. D' Andrea, T. Krick, and A. Szanto, J. Algebra, 302, 16--36 (2006); arXiv:math/0501281v3 (2005). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized K3 surfaces; reflexive pairs; Fourier-Mukai transformation; coarse moduli space Bartocci, C.; Bruzzo, U.; Hernández~Ruipérez, D., Moduli of reflexive \(K 3\) surfaces, (Complex analysis and geometry (Trento, 1995), Pitman res. notes math. ser., vol. 366, (1997), Longman, Harlow), 60-68 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces curve; variety; genus; singularity; dimension; rational function; tangent space; surface; birational equivalence Reid, M.: Undergraduate algebraic geometry. London mathematical society student texts (1988) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces triangle singularity; Kleinian singularity; Fuchsian singularity; weighted projective line; vector bundle; singularity category; Cohen-Macaulay module; stable category; ADE-chain; Nakayama algebra; Happel-Seidel symmetry D. Kussin, H. Lenzing, and H. Meltzer, \emph{Triangle singularities, {ADE}-chains, and weighted projective lines}, Adv. Math. \textbf{237} (2013), 194--251. \MR{3028577} | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjoint line bundle; global generation; 5-fold; multiplier ideal; critical variety | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces d-gonal curve of genus g; nodes; rational surfaces; unirational Hurwitz spaces Enrico Arbarello and Maurizio Cornalba. Footnotes to a paper of {B}eniamino {S}egre: ``{O}n the modules of polygonal curves and on a complement to the {R}iemann existence theorem'' ({I}talian) [{M}ath. {A}nn. 100 (1928), 537--551; {J}buch 54, 685]. Math. Ann., 256(3):341--362, 1981. The number of \(g{1}{d}\)'s on a general \(d\)-gonal curve, and the unirationality of the Hurwitz spaces of \(4\)-gonal and \(5\)-gonal curves. DOI 10.1007/BF01679702; zbl 0454.14023; MR0626954 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Abelian surfaces; Complex multiplication; Genus 2 curves Goren, E.; Lauter, K., \textit{genus 2 curves with complex multiplication}, Int. Math. Res. Not. IMRN, 2012, 1068-1142, (2012) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces non commutative algebraic geometry; surface; blow up; graded algebras of Gelfand-Kirillov dimension three; Abelian categories; Rees algebra; pseudo-compact rings; completion functors; derived categories; Del Pezzo surfaces; quantum version of projective three space M. Van~den Bergh, \emph{Blowing up of non-commutative smooth surfaces}, Mem. Amer. Math. Soc. \textbf{154} (2001), no.~734, x+140. \MR{1846352 (2002k:16057)} | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces line bundle over projective toric variety | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces cohomology groups of an analytic line bundle over a complex torus | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.