text
stringlengths 2
1.42k
| label
int64 0
1
|
|---|---|
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli of stable vector bundles; elliptic surface; singularities; obstruction; Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces diffeomorphism; complex surface diffeomorphic to a rational surface; Seiberg-Witten invariants; Kodaira dimension CH. Okonek andA. Teleman, Les invariants de Seiberg-Witten et la conjecture de Van de Ven.C. R. Acad. Sei. Paris 321 (1995), 457--461. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjoint linear systems; line bundle; Fujita conjecture; variety of general type; invariance of plurigenera; Hodge theory | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces cuspidal rational plane curves; logarithmic Kodaira dimension Fernández de Bobadilla, Javier; Luengo, Ignacio; Melle Hernández, Alejandro; Némethi, Andras, Classification of rational unicuspidal projective curves whose singularities have one Puiseux pair.Real and complex singularities, Trends Math., 31-45, (2007), Birkhäuser, Basel | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces automorphism; semi-abelian variety; group action; logarithmic Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifold; adjoint bundle; effectivity Fukuma, Y., Effective non-vanishing of global sections of multiple adjoint bundles for polarized 3-folds, J. Pure Appl. Algebra, 215, 168-184, (2011) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kähler threefolds; Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces co-Higgs bundle; principal bundle; projective line; stability; simple roots; moduli; stratification | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces abelian surfaces; monad; Horrocks-Mumford bundle; Horrocks-Mumford surfaces; HM-surfaces Klaus Hulek, The Horrocks-Mumford bundle, Vector bundles in algebraic geometry (Durham, 1993) London Math. Soc. Lecture Note Ser., vol. 208, Cambridge Univ. Press, Cambridge, 1995, pp. 139 -- 177. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces blow-ups; Hirzebruch surfaces; quartics with a double line; normality | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projective space curve; Brill-Noether Theory; line bundle; normal bundle; linear series \textsc{H. Iliev}, On the irreducibility of the Hilbert scheme of space curves, Proc. Amer. Math. Soc. \textbf{134} (2006), 2823-2832. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces existence of moduli space for elliptic surface; global coarse moduli; genus; invariant theory; elliptic surfaces with a section W.K. Seiler : Global moduli for elliptic surfaces with a section , Comp. Math. 62 (1987) 169-185. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira dimension; Moishezon threefold; compact complex threefolds; algebraic threefolds; non-Kählerian rigidity theorem | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces deformation theory; Higgs field; surfaces; positive canonical bundle; stable torsion sheaves; symmetric perfect obstruction theory; moduli space; \(\operatorname{SU}(r)\) Vafa-Witten invariants; Euler characteristic; nested Hilbert schemes | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces log Kodaira dimension; homogeneous variety; semi-abelian variety BZ15 Michel Brion and De-Qi Zhang, \emph Log Kodaira dimension of homogeneous varieties, Advanced Studies in Pure Mathematics \textbf 75 (2017), 1--6. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces complex connected reductive group; involutive automorphism; isotropy groups; parabolic subgroups; Borel subgroup; homogeneous line bundle Brion M., Helminck A.G.: On orbit closures of symmetric subgroups in flag varieties. Can. J. Math. 52(2), 265--292 (2000) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundles; Chern classes; Euler-Poincaré characteristic; complex projective spaces; hyperquadrics; hypercubics; positive vector bundle on projective algebraic complex manifold; closed submanifold | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces endomorphisms; polarized abelian variety; irreducible curve; Jacobian; geometric genus Debarre O. (1994). Degrees of curves in Abelian varieties. Bull. Soc. Math. France 122(3):343--361 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Weierstrass \(n\)-semigroup; smooth curve; semigroup of non-gaps; non-special line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces canonical system; canonical map; dimension; genus; Castelnuovo varieties; Castelnuovo 3-folds | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces threefolds; Kodaira dimension; relative abelian schemes Y. Fujimoto: Tower problem on finite étale coverings of smooth projective 3-folds, International Journal of Math. 15 (2004), 135--150. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces unirationality of moduli space of 5-dimensional principally; polarized abelian varieties; Prym moduli space parametrizing double covers of curves of; genus 6; nets of quadrics; theta characteristic; Prym moduli space parametrizing double covers of curves of genus 6 R. Donagi, The unirationality of
\[
\mathcal{A}_{5}
\]
. Ann. Math. 119, 269--307 (1984) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces classification of \(k\)-very ample line bundles; 3-secant lines M. Andreatta. Surfaces of sectional genus 8 with no tresecant lines.Arch. Math., 60:85--95, 1993 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Clifford index; real algebraic curve; real gonality; real line bundle Ballico, E.: Gonality and Clifford index for real algebraic curves, Collectanea math. 53 (2002) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli space; factorization of holomorphic sections of line bundles; rank two parabolic bundles; Riemann surfaces; Verlinde formula Daskalopoulos G., Wentworth R.: Factorization of rank two theta functions II. Proof of the Verlinde formula. Math. Ann. 304, 21--51 (1996) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces birational classification; arbitrary characteristic; Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira dimension; Iitaka fibration; weak positivity; pluricanonical map; threefold; minimal model | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundle; polarized manifold; tame representation type; indecomposable vector bundle D. Faenzi, F. Malaspina, The CM representation type of homogeneous spaces, in preparation. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces surface of general type; horizontal fixed component; horizontal fixed component of linear system; cotangent bundle; line bundle Serrano, F., The projectivised cotangent bundle of an algebraic surface, Arch. Math. (Basel), 65, 2, 168-175, (1995) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Weierstrass points on the moduli space; Riemann surfaces of genus 3; inflexion points; hyperflex A.M. Vermeulen. \textit{Weierstrass points of weight two on curves of genus three}. Universiteit van Amsterdam, Amsterdam, 1983. Dissertation, University of Amsterdam, Amsterdam, 1983;With a Dutch summary. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(k\)-very ampleness of a line bundle; hyperelliptic surface Mella, M.; Palleschi, M., The \(k\)-very ampleness on an elliptic quasi bundle, Abh. Math. Semin. Univ. Hambg., 63, 215-226, (1993) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces principally polarized Adler-van Moerbeke surfaces; Kummer surfaces; abelian surfaces as complete intersections of webs of quadrics Szemberg, T.: On principally polarized adler--Van moerbeke surfaces. Math. nachr. 185, 239-260 (1997) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces irreducible representations; 4-dimensional Sklyanin algebra; points of infinite order; elliptic curve; line bundle; finite dimensional modules Smith, S. Paul; Staniszkis, J. M., Irreducible representations of the \(4\)-dimensional Sklyanin algebra at points of infinite order, J. Algebra, 160, 1, 57-86, (1993) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces logarithmic Kodaira dimension; trivial Picard group; affine surface; fundamental group R. V. Gurjar and M. Miyanishi, Affine surfaces with \overline\?\le 1, Algebraic geometry and commutative algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 99 -- 124. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli space of pointed curves; Kodaira dimension; unirulness; moduli space of hyperelliptic curves | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(K3\) surfaces; variation of curves; Hitchin system; Mukai system; tangent bundle; stability | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces dimension of Picard group; moduli space of K-3 surfaces; numerically effective divisor O'Grady, Kieran G, On the Picard group of the moduli space for \(K\)-\(3\) surfaces, Duke Math. J., 53, 117-124, (1986) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces compactified universal Jacobian; stable curves; torsion-free sheaves; canonical singularities; toric singu- larities; Kodaira dimension; Iitaka fibration; birational automorphisms S. Casalaina-Martin J. L. Kass F. Viviani The singularities and birational geometry of the universal compactified Jacobian | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces global sections of line bundles; super Riemann surfaces; j- superdifferentials; spectral sequence Hodgkin, L.: Problems of fields on super Riemann surfaces. J. Geom. and Phys.6, 333--348 (1989) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundles; adjunction; Fano varieties; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces rank \(r\) vector bundle as direct image of line bundle; finite morphisms; covering | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces rational parametrization; rational surface; \(m\)-adjoints; geometric genus; algebraic genus; algorithm ParametrizeWithAdjoints; divisors on smooth surfaces Schicho, J.: Rational parametrization of surfaces. J. Symb. Comput. 26(1), 1--30 (1998) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ampleness; polarized abelian surfaces Y. Fukuma , On d-very ample line bundles on abelian surfaces , preprint. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Chevalley group; Borel subgroup; line bundle; filtrations; formal characters; sum formula; Translation functors; characters of irreducible G(k)-modules; Weyl modules H. H. Andersen, ?Filtrations of cohomology modules for Chevalley groups,? Ann. sci. ec. norm, supér.,16, No. 4, 495?528 (1983). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces orbifold; fibration; rationally connected manifold; Kodaira dimension; variety of general type; Kobayashi pseudometric; \(K\)-rational point Campana, F.: Special Varieties and Classification Theory. In preparation | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces curves on surfaces; minimal analytic surface; number of algebraic families of curves with fixed arithmetic genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces blow up of divisor; 4-dimensional projective manifold of nonnegative Kodaira; dimension; local complete intersection; 4-dimensional projective manifold of nonnegative Kodaira dimension M.L. Fania , Extension of modifications of ample divisors on fourfolds II , J. Math. Soc. Japan , 38 ( 1986 ), pp. 285 - 294 . Article | MR 833203 | Zbl 0597.14035 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces normal bundle; ample vector bundle; moving cycle Peternell, T.: Submanifolds with Ample Normal Bundles and a Conjecture of Hartshorne, Interactions of Classical and Numerical Algebraic Geometry, Contemporary Mathematics, vol. 496, pp. 317-330. American Mathematical Society, Providence (2009) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth projective curve over field \(k\) with rational point; theta characteristic; motivic stable homotopy type category \(SH(S)\); line bundle; tangent bundle Röndigs, O.: Theta characteristics and stable homotopy types of curves, Q. J. Math. 61, No. 3, 351-362 (2010) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces holomorphic family; function field; Kodaira surface; Teichmüller space; Diophantine equation; Riemann surfaces; holomorphic section | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces non-commutative projective geometry; ample divisor; automorphism; GK-dimension Dennis S. Keeler, Criteria for \?-ampleness, J. Amer. Math. Soc. 13 (2000), no. 3, 517 -- 532. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Reider theorem; smooth toric surface; adjoint line bundle; lattice polygon; Pick theorem; Fujita's conjecture | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Witt ring; dimension index; skew symmetric; bilinear space; vector bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces deformations of curve; cyclic cover of projective line; period space for Riemann surfaces; holomorphic differentials; group of automorphisms | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces effective divisor; nef divisor; Zariski decomposition of a \(\mathbb{Q}\)- divisor; line bundle Fujita, T., Approximating Zariski decomposition of big line bundles, \textit{Kodai Math. J.}17 ( 1994), no. 1, 1- 3. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces degeneracy locus of symmetric bundle maps; determinantal variety; variation of weight one Hodge structure; families of genus g curves Joe Harris & Loring W. Tu, ``On symmetric and skew-symmetric determinantal varieties'', Topology23 (1984) no. 1, p. 71-84 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(K3\) surfaces; genus three curves Artebani M.: A one dimensional family of K3 surfaces with a \$\$\{\(\backslash\)mathbb\{Z\}/4\(\backslash\)mathbb\{Z\}\}\$\$ action. Can. Math. Bull. 52, 493--510 (2009) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces semi-simple, simply connected algebraic group; maximal torus; Borel subgroup; sheaf cohomology module; line bundle; dominant character; dual Weyl module; highest weight; socle series; irreducible modules; lattice of submodules DOI: 10.1016/0021-8693(85)90040-7 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces theta series; Jacobi forms; elliptic modular surface; Kodaira-Vanishing- Theorem; Riemann-Roch-Theorem; explicit formula; dimension; space of Jacobi cusp forms Kramer J.: A geometrical approach to the theory of Jacobi forms. Compos. Math. 79, 1--19 (1991) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projective normality; vanishing cohomology groups; Schubert variety; line bundle; Frobenius morphism [RR]Ramanan, S. \&Ramanathan, A., Projective normality of flag varieties and Schubert varieties.Invent. Math., 79 (1985), 217--224. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces holomorphic sectional curvatures; maximal rationally connected fibrations; abelian varieties; ruled surfaces; RC positivity; minimal models | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Teichmüller theory; Riemann surfaces; principally polarized Jacobi varieties | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces reductive group; flag variety; line bundle; vanishing theorem Andersen, Henning Haahr: Cohomology of line bundles, Algebraic groups and homogeneous spaces, 13-36 (2007) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Deligne's problem; constructing a functorial Riemann-Roch isomorphism; determinant line bundle; Chern functor; Gysin functor; Chern bundles Franke, J. : Chern functors, Arithmetic algebraic geometry, Texel , Progress in Math. 89, Birkhäuser, (1989) 75-152. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Del Pezzo surface; degree; genus; Bordiga surfaces Ellia, Ph.: Sur les lacunes d'Halpen, In: ''Algebraic Curves and Projective Geometry, Proceedings (Trento, 1988),'' Lectures Notes in Math., Vol. \textbf{1389} Springer-Verlag (1989) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces divisors; syzygies; resolutions; line bundle on a smooth complex projective variety; property \(N_p\) Rubei E.: A note on property N p . Manuscr. Math. 101, 449--455 (2000) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Line bundle; asymptotic invariants; volume; big divisor; base loci Ein L., Lazarsfeld R., Mustaţă M., Nakamaye M., Popa M., Asymptotic invariants of line bundles, Pure Appl. Math. Q., 2005, 1(2), Special Issue: In memory of Armand Borel. I, 379--403 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic differential 2 forms; geometric genus; arithmetic genus; characteristic linear series; irregularity of an algebraic surface; adjunction F. Bardelli, On the origins of the concept of irregularity of an algebraic surface, in (Brigaglia, Ciliberto, Sernesi, 1994), pp. 11--26. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Bergman kernel; holomorphic line bundle; measures on moment polytope | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Weierstraß points; canonical divisor; compact Riemann surface; first Chern class; holomorphic line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces stable sheaf on variety of dimension bigger than one; complete intersection curve; stable bundle with zero Chern classes; irreducible unitary representation of fundamental group V.B. Mehta and A. Ramanathan, Restriction of stable sheaves and representations of the fundamental group. Inv. Math. 77 (1984), pp. 163--172. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces perfect lattices; extremal Riemann surfaces; extremal symplectic lattices; eutactic; Jacobians; genus 3 Riemann surfaces; Klein curve; Picard curve; Fermat curve | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces tropical geometry; moduli spaces; Hodge bundle; abelian differentials; canonical divisors; flat surfaces; Berkovich spaces | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces abelian variety; global section of line bundle G. R. Kempf, Multiplication over abelian varieties , Amer. J. Math. 110 (1988), no. 4, 765-773. JSTOR: | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Chern classes; jet bundle; surfaces | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth projective family; semi-ample canonical bundle; Kähler metric; Gorenstein canonical singularities | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces period matrices; moduli space of polarized abelian surfaces; bielliptic abelian surfaces; non-trivial involution; Humbert surfaces; ampleness of polarization Hulek, K., Weintraub, S.H.: Bielliptic abelian surfaces. Math. Ann. 283, 411--429 (1989) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces pencils of curves of low genus; surfaces of general type; quadrics \auM. Reid, Quadrics through a canonical surface, \tiAlgebraic geometry (L'Aquila) lecture notes in math., , 1147 ( (1988),)\spg191-\epg213. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces unirationality for conic bundles; rational point; rational conic bundle surfaces; finite dimensional central simple algebras; large arithmetic fields Yanchevskiĭ, V. I., Astérisque, 209, 311-320, (1992), Soc. Math. France, Paris | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Siegel modular threefold; endoscopic lift; birational smooth mode; polarized abelian surfaces | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces holomorphic rank 2 vector bundle; Riemann surfaces; irreducible meromophic tracefree connection; logarithmic connection Heu, V, Universal isomonodromic deformations of meromorphic rank 2 connections on curves, Ann. Inst. Fourier, 344, 463-490, (2009) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundle; contraction; extremal ray; polarized variety; adjoint bundle; nefness; ampleness; log terminal singularities Andreatta, M., Mella, M.: Contractions on a manifold polarized by an ample vector bundle. Trans. AMS 349, 4669--4683 (1997) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces non-Archimedean geometry; Berkovich space; volume; nef line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces cohomology ring of moduli space; degree; compact Riemann surface; genus; Verlinde formula; Chern classes of the tangent bundle Zagier, D., On the cohomology of moduli spaces of rank two vector bundles over curves, (The Moduli Space of Curves, Texel Island, 1994, Progr. Math., vol. 129, (1995), Birkhäuser Boston Boston, MA), 533-563 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vanishing geometric genus; construction of surfaces of general type; Enriques surface; even configurations; bielliptic surfaces Daniel Naie, Surfaces d'Enriques et une construction de surfaces de type général avec \?_{\?}=0, Math. Z. 215 (1994), no. 2, 269 -- 280 (French). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kac-Moody Lie-algebra; ŜL\({}_ 2\); Kac-Moody group; parabolic subgroup; Weyl group; Schubert variety; standard monomials; tautological line bundle V. Lakshmibai and C. S. Seshadri, ?Thèorie monomiale standard pour \(\widehat{\mathfrak{s}\mathfrak{l}}_2 \) ,? C. R. Acad. Sci. Paris Ser. I,305, 183-185 (1987). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Okounkov body; metric volume of a line bundle; Chebyshev transform of a metric; differentiability of metric volume D. Witt Nyström,Transforming metrics on a line bundle to the Okounkov body, Ann. Sci. Éc. Norm. Supér. (4)47(2014), 1111--1161. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira's theory; Meyer function; algebraic surfaces of general type; Lefschetz fibrations Ashikaga, T.; Endo, H.: Various aspects of degenerate families of Riemann surfaces, Sūgaku expo. 19, No. 2, 171-196 (2006) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces G.I.T. quotient; line bundle; projective normality | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ACM line bundle; arithmetically Cohen Macaulay line bundle; elliptic ruled surface | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ruled surface; elliptic fibration; \(k\)-spanned line bundle; rational surface A. Biancofiore andG. Ceresa, Remarks onk-spannedness for Algebraic Surfaces. Rend. Sem. Mat. Univers. Politecn. Torino46 (1988), 343--352. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces minimal genus; finite group as group of automorphisms; compact non- orientable Klein surfaces Bujalance, E.: Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary. Pac. J. Math. 109, 279--289 (1983) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces affine surface; divisor class group; logarithmic Kodaira dimension Palka, K., Recent progress in the geometry of \(\mathbb{Q}\)-acyclic surfaces, (Affine Algebraic Geometry: The Russell Festschrift, CRM Proc. Lecture Notes, vol. 54, (2011), Amer. Math. Soc. Providence, RI), 271-287 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces cubic surfaces; double line; projections; branch loci; resolvent surfaces; fundamental groups; projective plane Faenzi, D.: A remark on Pfaffian surfaces and aCM bundles. In: Vector Bundles and Low Codimensional Subvarieties: State of the Art and Recent Developments, vol. 21 of Quad. Mat. pp. 209-217. Dept. Math., Seconda Univ. Napoli, Caserta (2007) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces deformations of manifold and line bundle; differential graded Lie algebras | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Brill-Noether locus; gonality of curves; Kodaira dimension Farkas, G, Brill-Noether loci and the gonality stratification of \(M_g\), J. Reine Angew. Math., 539, 185-200, (2001) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira dimension zero; class; order | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces bounds of Chern numbers; minimal algebraic surface of general type; tautological line bundle; Riemann-Roch; nef; big divisors T. Luo, On the horizontal base locus of multiples of tautological sheaves of projectivised cotangent bundles, II. Manuscripta Math.79, 299-306 (1993). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Mori theory; threefold; negative Kodaira dimension; extremal contractions; extremal curves; rationality theorem | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.