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\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces curves in the unstable range; projective curves of higher genus; moduli space; cohomology; principally polarized Abelian varieties
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces tangent space; ample canonical bundle; immersion; generalized Gauss map; abelian variety Z. Ran, ''The structure of Gausslike maps,'' Compos. Math.,52, 171-177 (1984).
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces family of algebraic curves; pointed curves; projective connection; determinant line bundle Y. Tsuchimoto, \textit{On the coordinate-free description of conformal blocks}, J. Math. Kyoto. Univ. \textbf{1} (1993), 29-49.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces geometric genus; irregularity; rational equivalence classes of zero cycles; pseudo-rational surface; very good reduction Coombes, K, The arithmetic of zero cycles on surfaces with geometric genus and irregularity zero, Math. Ann., 291, 429-452, (1991)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces normal bundle; line congruence; Grassmann variety; Hilbert schemes Hernández, R. - Sols, I. , Line congruences of low degree, Géométrie algébrique et applications II , Travaux en cours, Hermann Paris 1987 , 141-154. MR 88k:14005 | Zbl 0632.14038
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces line arrangements; Waldschmidt constants; semi-effectivity; bounded negativity; Zariski decompositions; SHGH conjecture; algebraic surfaces; containment problem; resurgence B. Harbourne, Asymptotics of linear systems, with connections to line arrangements, arXiv.org/pdf/1705.09946.pdf.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized abelian surfaces; branch points in the moduli space H.-J. Brasch, Branch points in moduli spaces of certain abelian surfaces , Abelian Varieties, Egloffstein 1993, de Gruyter, Berlin (1995), 27-54.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(k\)-spanned embeddings; \(k\)-spanned line bundle; complex surface Ballico, On k - Spanned Embeddings of Projective Manifolds, Manuscripts Math. 71 pp 103-- (1992)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Hilbert scheme; line bundle; k-very ampleness Fabrizio Catanese and Lothar Gœttsche, \?-very-ample line bundles and embeddings of Hilbert schemes of 0-cycles, Manuscripta Math. 68 (1990), no. 3, 337 -- 341.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces invariance subsets of the Jacobian; moduli space; line bundles of degree d on a curve of genus g Montserrat Teixidor i Bigas, On translation invariance for \?^{\?}_{\?}, J. Reine Angew. Math. 385 (1988), 10 -- 23.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Gorenstein singularities; 2-dimensional normal singularity; Kodaira dimension; isolated singularity; pluri-genera S. ISHII, Two dimensional singularities with bounded plurigenera m are Gorenstein singularities, to appear in Proc. Iowa city singularities conference, Contemporary Mathematics series of AMS.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces characteristic \(p\); \(p\)-cohomological dimension; vector bundle; vanishing theorems; Witt vectors
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces complex torus; line bundle; connection; \(\Omega-\)torsor
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(K3\) surfaces; elliptic genus; Igusa cusp forms; string theory; theta functions T. Kawai, \(K\)3 \textit{surfaces, Igusa cusp form and string theory}, hep-th/9710016 [INSPIRE].
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundle; spanned vector bundle; Chern number
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Grassmannian bundle; curvature tensor; sectional curvature
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces real algebraic variety; Nash morphism; sectional genus; finite morphism; étale morphism
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces abelian surfaces; quintic threefold; Horrocks-Mumford bundle; HM- quintics; Picard group Alf Bjørn Aure, Surfaces on quintic threefolds associated to the Horrocks-Mumford bundle, Arithmetic of complex manifolds (Erlangen, 1988) Lecture Notes in Math., vol. 1399, Springer, Berlin, 1989, pp. 1 -- 9.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces abelian variety; generic vanishing theory; Hodge module; holomorphic one-form; Kodaira dimension; zero locus Popa, M; Schnell, C, Kodaira dimension and zeros of holomorphic one-forms, Ann. Math. (2), 179, 1-12, (2014)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Schubert variety; Richardson variety; semi-stable point; line bundle
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces determinant line bundles; Riemann surfaces; infinite dimensional Lie algebras
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Mumford-Tate group; automorphic cohomology; Mumford-Tate domain; CM point; homogeneous complex manifold; Lagrange quadrilateral; homogeneous line bundle; correspondence space; cycle space; Stein manifold; Penrose transform; coherent cohomology; Picard and Siegel automorphic forms; automorphic cohomology; cuspidal automorphic cohomology; discrete series; Lie algebra cohomology; K-type; TDLDS M. Green, P. Griffiths, and M. Kerr, Special values of automorphic cohomology classes , Mem. Amer. Math. Soc. 231 , Amer. Math. Soc., Providence, 2014.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces line bundle; Enriques surface; \(K3\) surface; vanishing theorem Knutsen, A. L., and Lopez, A. F., \textit{A sharp vanishing theorem for line bundles on K}3 \textit{or} \textit{Enriques surfaces}, Proc. Amer. Math. Soc. 135 (2007), no. 11, 3495--3498.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces essential dimension; finite group actions; rational surfaces Duncan, A, Finite groups of essential dimension \(2\), Comment. Math. Helv., 88, 555-585, (2013)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces log-canonical ring; Kodaira dimension; threefold Osamu Fujino & Shigefumi Mori, ``A canonical bundle formula'', J. Differ. Geom.56 (2000) no. 1, p. 167-188
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces periods of a transcendental moduli problem; moduli problem of principally polarized abelian surfaces; periods; root systems; algebraic torus; cross ratio variety Sekiguchi, J.: Cross-ratio varieties for root systems. Kyushu J. Math. 48, 123--168 (1994)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjoint linear series; nef line bundle; Seshadri constant Ein, L.; Küchle, O.; Lazarsfeld, R., Local positivity of ample line bundles, J. Diff. Geom., 42, 193-219, (1995)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces elliptic surfaces with a section; rational double point; Moduli schemes for polarized elliptic surfaces Seiler, W.K.: Global moduli for polarized elliptic surfaces. Comp. Math.62, 187-213 (1987)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vanishing theorem; ample vector bundle Manivel L, Vanishing theorems for ample vector bundles, Invent. Math. 127 (1997) 401--416
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundle; special variety; surface
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic surfaces; Kähler manifolds; moduli; deformations; topological methods; fibrations; Kodaira fibrations; Chern slope; automorphisms; uniformization; projective classifying spaces; monodromy; fundamental groups; variation of Hodge structure; absolute Galois group; locally symmetric varieties
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces log canonical threshold; alpha invariant; toric line bundle; polytope
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli stack of curves; cotangent line bundle; Euler characteristic
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(\mathbb{Q}\)-rational CM-points; principally polarized abelian surfaces; field of moduli; number of rational points Murabayashi, Naoki; Umegaki, Atsuki, Determination of all \({\mathbf Q}\)-rational CM-points in the moduli space of principally polarized abelian surfaces, J. Algebra, 235, 1, 267-274, (2001)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces finitely many polarized \(K3\) surfaces; motive; motivic Galois group; polarized varieties; hyperKähler varieties André, Y., On the Shafarevich and Tate conjectures for hyper-Kähler varieties, Math. Ann., 305, 2, 205-248, (1996)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces GK-dimension; graded rings; noncommutative projective geometry; noncommutative surfaces; birational geometry; twisted section ring; stable birational map D. Rogalski, GK-dimension of birationally commutative surfaces, Transactions of the American Mathematical Society 361 (2009), 5921--5945.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Klein mapping; line congruencies; ruled surfaces; polygonal schema of a surface; homology groups
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces subvarieties of semiabelian varieties; semitorus; Mordell exceptional locus; logarithmic Kodaira dimension; Gauss map Abramovich D. (1994). Subvarieties of semiabelian varieties. Compos. Math. 90(1): 37--52
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Picard group; double cover of Fano \(n\)-fold; embedded as a very ample divisor; branch locus; Del Pezzo manifolds; polarized manifolds; \(\Delta\)-genus
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces branched covers; CAT\((\chi )\) inequality; geodesic space; finite Coxeter group; amply lattice-polarized K3 surfaces Allcock, D., \textit{completions, branched covers, Artin groups and singularity theory}, Duke Math. J., 162, 2645-2689, (2013)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Riemann surfaces; hyperbolic metrics; holomorphic family; holomorphic line bundles Wolpert, S.A.: Cusps and the family hyperbolic metric. Duke Math. J. 138(3), 423--443 (2007)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces closure of non-closed field; algebraic variety; line bundle
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces characteristic p; m-ple canonical mapping; elliptic surface; wild fibre; Kodaira dimension; deformation; lifting Katsura, T.; Ueno, K., On elliptic surfaces in characteristic \textit{p}, Math. Ann., 272, 291-330, (1985)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized Hodge structure; symplectic vector bundle; Hilbert square; period moduli space; EPW-sextic O'Grady, K. G., \textit{dual double EPW-sextics and their periods}, Pure Appl. Math. Q., 4, 427-468, (2008)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces GIT quotient; flag variety; descent of line bundle
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundle; splitting of a vector bundle; line bundle; holomorphic vector bundle; one-dimensional Stein space
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kummer surfaces; Jacobians of genus 2 curves; Brauer groups; bound on Brauer groups V. Cantoral-Farfán, Y. Tang, S. Tanimoto, E. Visse, Effective Bounds for Brauer Groups of Kummer Surfaces over Number Fields (2016) Preprint. arXiv:1606.06074
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces McKay correspondence; Dynkin quiver; quiver representations; cotangent bundle of projective line; Koszul duality; reflection functor; spherical twist; derived equivalence
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Deligne pairing; determinant line bundle; Quillen metric Biswas, I.; Schumacher, G.; Weng, L., Deligne pairing and determinant bundle, Electron. Res. Announc. Math. Sci., 18, 91-96, (2011)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces unstable vector bundle; vanishing Chern classes; splitting type; coarse moduli space; rank-2-vector bundles; jumping line Schafft, U.: Nichtsepariertheit instabiler Rang-2-Vektorbündel auf ?2. J. Reine Angew. Math.338, 136-143 (1983)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces non rationality of threefolds; standard bundle of Del Pezzo surfaces; conic bundle Alekseev V.\ A., On conditions for the rationality of three-folds with a pencil of del Pezzo surfaces of degree 4, Mat. Zametki 41 (1987), no. 5, 724-730, 766.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces K3-surfaces; integral symmetric bilinear form; involution; system of invariants; genus; isomorphism classes; real nonsingular projective algebraic variety; new invariants of real algebraic surfaces; relations; standard invariants; Euler characteristic Nikulin V.V. (1984). Involutions of integral quadratic formsand their applications to real algebraic geometry. Math. USSR Izv. 22: 99--172
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized real tori; line bundles over a real torus; semi-abelian varieties; semi-tori
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces dianalytic automorphisms; non-orientable surfaces; compact Klein surface; algebraic genus Bujalance, E., Etayo, J., Gamboa, J., Martens, G.: Minimal genus of Klein surfaces admitting an automorphism of a given order. Arch. Math.52, 191--202 (1989)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces triple-point-free degenerations of surfaces; zero Kodaira number; classification of degenerations; Euler characteristic of a complete divisor Crauder, B., Morrison, D.: Triple-point-free degenerations of surfaces with Kodaira number zero. In: Friedman, R., Morrison, D. (eds.) The Birational Geometry of Degenerations. Volume 29 of Progress in Mathematics, pp. 353-386. Birkhäuser, Basel (1983)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces systole; Hermite invariant; length function Busemann function; perfection; eutaxie; Riemannian surfaces; principally polarized abelian variety C. Bavard, ''Systole et invariant d'Hermite,'' J. Reine Angew. Math. 482, 93--120 (1997).
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces line bundle; linearization; seminormal Brion, M.\!, On linearization of line bundles, J. Math. Sci. Univ. Tokyo, 22, 113-147, (2015)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli spaces of genus-zero curves with marked points; flat surfaces; complex hyperbolic cone manifolds; singular Kähler-Einstein metrics
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces holomorphic vector bundle; line bundles; anti-holomorphic involution
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Higgs line bundle; Kähler manifold; characters of the fundamental group; number of equivalence classes of holomorphic maps onto curves Saito, M.: On Kollár's conjecture. Several complex variables and complex geometry. In: Proc. Sympos. Pure Math., vol. 52, pp. 509-517. AMS, Providence, RI (1991)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces totally split tangent bundle; product of Riemann surfaces S. Druel: Variétés algébriques dont le fibré tangent est totalement décomposé , J. Reine Angew. Math. 522 (2000), 161--171.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smoothness of moduli space; surface with negative Kodaira dimension; Néron-Severi group
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Gaussian map; canonical bundle; second Gaussian map; Wahl map; curves on \(K3\) surfaces Colombo, E.; Frediani, P., On the second Gaussian map for curves on a K3 surface, Nagoya Math. J., 199, 123-136, (2010)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces degree 0 line bundle; hyperelliptic curve; torsion line bundle
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces curves; surfaces; divisors; line bundles; positivity G. V. Chudnovsky, \textit{Singular points on complex hypersurfaces and multidimensional Schwarz} \textit{lemma}, in: Seminar on Number Theory, Paris 1979--80, Progr. Math. 12, Birkhäuser, Boston, Mass., 1981, 29--69. [14] C. Ciliberto, A. L. Knutsen, J. Lesieutre, V. Lozovanu, R. Miranda, Y. Mustopa, D. Testa, \textit{A few questions about curves on surfaces}, Rend. Circ. Mat. Palermo (2) 66 (2017), 195--204. [15] C. Ciliberto, R. Miranda, \textit{Nagata's conjecture for a square or nearly-square number of} \textit{points}, Ric. Mat. 55 (2006), 71--78.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli of punctured Riemann surfaces; WZWN-theory; conformal blocks; Krichever-Novikov algebras; higher genus Knizhnik-Zamolodchikov equations; Sugawara construction; higher genus Riemann surfaces M. Schlichenmaier and O. K. Sheinman, ''The Wess-Zumino-Witten-Novikov Theory, Knizhnik-Zamolodchikov Equations, and Krichever-Novikov Algebras,'' Russ. Math. Surveys 54(1), 213--249 (1999).
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quasi-constant; Shimura varieties; Hodge line bundle; G-zips; minuscule; cominuscule
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample cotangent bundle; complete intersections; symmetric differentials Brotbek, D, Explicit symmetric differential forms on complete intersection varieties and applications, Math. Ann., 366, 417-446, (2016)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces fibration; hyperelliptic curve; genus \(g\); irregularity; canonical divisor; Euler characteristic Xiao, G., \textit{irregular families of hyperelliptic curves}, Algebraic geometry and algebraic number theory (Tianjin, 1989-1990), 152-156, (1992), World Scientific, River Edge, NJ
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces threefolds; IItaka conjecture; Kodaira dimension
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Beauville-Bogomolov decomposition theorem; varieties of Kodaira dimension zero; Calabi-Yau; holomorphic-symplectic varieties; minimal model theory Greb, D., Kebekus, S., Peternell, T.: Singular spaces with trivial canonical class. In: Minimal Models and Extremal Rays Proceedings of the Conference in Honor of Shigefumi Moris 60th Birthday, Advanced Studies in Pure Mathematics. Kinokuniya Publishing House, Tokyo (2011) (\textbf{to appear})
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces primary Kodaira surfaces; cohomological Brauer group
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projective blow-up; birational geometry; ample anticanonical bundle Bonavero, L.; Campana, F.; Wiśniewski, J. A., Variétés complexes dont l'éclatée en un point est de Fano, C. R. Math. Acad. Sci. Paris, 334, 6, 463-468, (2002)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces del Pezzo surfaces of degree four; Brauer groups; rational points; conic bundle surfaces; Hasse principle
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ampleness; k-spannedness; adjoint bundle; nef line bundle BELTRAMETTI M. C., FRANCIA P. and SOMMESE A. J., ''On Reider's method and higher order embeddings'', Duke Math. J. 58 (1989), 425--439.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces semi-positivity; zero Kodaira dimension; Additivity of Kodaira dimension; algebraic fibre space; period map Yujiro Kawamata, Hodge theory and Kodaira dimension, Algebraic varieties and analytic varieties (Tokyo, 1981) Adv. Stud. Pure Math., vol. 1, North-Holland, Amsterdam, 1983, pp. 317 -- 327.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Hermitian algebraic function; quotients of squared norms; holomorphic line bundle; jet pullback property; Bergman kernel Varolin, D., Geometry of Hermitian algebraic functions. quotients of squared norms, Amer. J. Math, 130, 291-315, (2008)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Hopf surface; cohomology; line bundle; sections
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces curves of genus 5; semistable vector bundle; Clifford index; Brill-Noether theory; higher rank Brill-Noether theory Lange, H.; Newstead, P. E., Higher rank BN-theory for curves of genus \(5\), Rev. Mat. Complut., 29, 691-717, (2016)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces del Pezzo surface; exceptional collection; line bundle Elagin, A.; Lunts, V., On full exceptional collections of line bundles on del Pezzo surfaces, Mosc. Math. J., 16, 4, 691-709, (2016)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quintic surfaces of general type; resolution of singularities; irregularity DOI: 10.3836/tjm/1270128196
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces threefold of general type; canonical system; fibration over a curve; genus; irregularity; geometric genus; cohomology groups DOI: 10.1017/S0305004198002734
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample bundle; Lefschetz hyperplane theorem; determinantal locus; Griffiths \(k\)-positive; Brill-Noether loci
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira vanishing; log del Pezzo surfaces; positive characteristic
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces embedding of \(\mathbb C^*\); affine plane; Kodaira dimension; asymptote Koras, Mariusz; Russell, Peter: Some properties of C\? in C2. Affine algebraic geometry, Proceedings of the conference, 160-197 (2011)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces rigid analysis; Picard variety; rational point; formal model; Picard functor; Poincaré line bundle; Néron-Severi group U. Hartl and W. Lütkebohmert, On rigid-analytic Picard varieties, J. reine angew. Math. 528 (2000), 101-148.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic surfaces; genus singular points; fundamental points
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces semiample line bundle; first Chern class; numerically semipositive line bundle; cohomological semipositivity; vanishing theorem T. Fujita, ''Semipositive line bundles,''J. Fac. Sci. Univ. Tokyo, Sec IA Math.,30, 353--378 (1983).
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces tilting bundle; weighted projective line; admissible path; coherent sheaf
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces extensions of pluricanonical sections; invariance of plurigenera; pseudo-effective line bundle; singular metric; multiplier ideal sheaf B. Claudon, Invariance for multiples of the twisted canonical bundle , Ann. Inst. Fourier (Grenoble) 57 (2007), 289-300.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Cremona transformations; birationally conjugate; rational surfaces; conic bundle J. Blanc, Linearisation of finite abelian subgroups of the Cremona group of the plane, Groups Geom. Dyn. 3 (2009), no. 2, 215--266.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces complex projective variety; line bundle; vanishing theorem; seminormal D. Arapura and D. B. Jaffe, On Kodaira vanishing for singular varieties, Proc. Amer. Math. Soc. 105 (1989), 911--916.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces nef line bundle; projective variety; Fano threefold; Mori theory; abundance conjecture
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Ruled surfaces; line complexes
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces logarithmic Kodaira dimension; reducible curve; birational geometry; Iitaka's program; complete rational surface; Cremona transformation Iitaka, Shigeru, Classification of reducible plane curves, Tokyo J. Math., 11, 2, 363-379, (1988)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces connection; monodromy; harmonic metric; line bundle; local system; moduli space; compact Riemann surface; ordinary differential equations Simpson, C., A lower bound for the size of monodromy of systems of ordinary differential equations, (Algebraic geometry and analytic geometry, ICM-90 Satell. Conf. Proc., Tokyo, 1990, (1991), Springer Tokyo), 198-230
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces analytic cancellation theorem; biholomorphically non-equivalent algebraic structures; Zariski conjecture; logarithmic Kodaira dimension; fibrations M. Zaĭdenberg, ``An analytic cancellation theorem and exotic algebraic structures on \(C^{n}\), \(n\geq3\)'' in Colloque d'Analyse Complexe et Géométrie (Marseille, 1992) , Astérisque 8 , Soc. Math. France, Montrouge, 1993, 251-282.
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundle; stable category; recollement; weighted projective line Chen, X. W., A recollement of vector bundles, Bull. London Math. Soc., 44, 271-284, (2012)
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projective bundles; very ample divisor; hypersurface contained as an ample divisor; linear system; ladder; genus DOI: 10.1007/BF01158037
| 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces analytic spread; symbolic powers; arithmetic rank; Kodaira dimension; set-theoretic complete intersection; Frobenius complexity
| 0 |
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