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\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Miyaoka-Yau inequality; homology planes; complex algebraic surfaces; cancellation; logarithmic Kodaira dimension; open algebraic surfaces of general type M. MIYANISHI, Recent topics on open algebraic surfaces, Amer Math. Soc Transl Ser 2, 172 (1996), 61-7 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle Jean-Pierre Demailly, \?²-methods and effective results in algebraic geometry, Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994) Birkhäuser, Basel, 1995, pp. 817 -- 827. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Heisenberg group; equations of abelian surfaces; very ampleness of primitive line bundles; polarized abelian variety Mark Gross and Sorin Popescu, Equations of (1,\?)-polarized abelian surfaces, Math. Ann. 310 (1998), no. 2, 333 -- 377. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(K3\) surface; cubic fourfold; moduli space of polarized \(K3\) surfaces; unirationality; genus 22 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(k\)-jet ample line bundle; ample line bundles; abelian variety Bauer, Th.; Szemberg, T., Higher order embeddings of abelian varieties, Math. Z., 224, 449-455, (1997) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundle Brivio, S., On projective manifolds admitting 3-gonal or 4-gonal curve sections, Le Matematiche, 44, 163-172, (1989) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Bridgeland stability; line bundle stability; Hirzebruch surfaces DOI: 10.1016/j.jpaa.2015.09.021 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces triple covers; very ample line bundle; linear system LANTERI A., PALLESCHI M. and SOMMESE A.J., ''On triple covers of \(\mathbb{P}\) n as very ample divisors'', inClassification of Algebraic Varieties, Proceedings L'Aquila, 1992, ed. by C. Ciliberto, E.L. Livorni and A.J. Sommese, Contemp. Math. 162 (1994), 277--292. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces rational surfaces; embeddings the blown up surface in some projective space; dimension of linear systems of plane curves; superabundant very ample divisors [GGH] A. V. Geramita, A. Gimigliano and B. Harbourne,Projectively normal but superabundant embedding of rational surfaces in projective space, J. Algebra169 (1994), 791--804 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces characteristic \(p\); homogeneous space; embeddings; very ample line bundle N. Lauritzen, \textit{Embeddings of homogeneous spaces in prime characteristics}, Amer. J. Math. \textbf{118} (1996), no. 2, 377-387. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifold; adjoint bundles; sectional genus; effective non-vanishing DOI: 10.1142/S0219498814500467 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces theta functions; Jacobian; genus 2 curve; addition law; completeness; embedding; line bundle; finite field | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces contractions of extremal faces; adjunction theory; contracting lines; Mori contraction; ample line bundle; nef value morphism; contraction of an extremal ray Beltrametti, M. C.; Sommese, A. J.; Wiśniewski, J. A., Results on varieties with many lines and their applications to adjunction theory, (Complex Algebraic Varieties (Bayreuth, 1990), Lecture Notes in Math., vol. 1507, (1992), Springer Berlin), 16-38, MR1178717 (93i:14007) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces homogeneous ideal; ample line bundle; Picard group; Hilbert function; Grassmannian; Fano variety | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces linear systems; ample line bundle; graded Betti numbers; noncomplete Veronese embeddings Christina Birkenhake, Linear systems on projective spaces, Manuscripta Math. 88 (1995), no. 2, 177 -- 184. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Chamber structures; polarizations on algebraic surfaces; Kodaira dimension zero; moduli spaces of stable rank two bundles; Chern classes Qin, Z.B.: Chamber structures of algebraic surfaces with Kodaira dimension zero and moduli spaces of stable rank two bundles. Math. Z.207, 121--136 (1991) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle; Bordiga surface DOI: 10.1090/S0002-9939-08-09752-9 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjunction mapping; classification; very ample line bundle; hyperelliptic curve; spanned rank-2 holomorphic vector bundle A. Lanteri, Variazioni sul tema classico delle sezioni iperellittiche. Rend. Sem. Mat. Fis. Milano57, 533-547 (1987). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces non ruled surfaces; sectional genus; classification | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projective surface; ample line bundle; Seshadri constant; intersection multiplicity | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces branched covering; ample line bundle; \(n\)-section; Betti numbers Jarosław A. Wiśniewski, On topological properties of some coverings. An addendum to a paper of A. Lanteri and D. C. Struppa: ''Topological properties of cyclic coverings branched along an ample divisor'' [Canad. J. Math. 41 (1989), no. 3, 462 -- 479; MR1013464 (90i:14021)], Canad. J. Math. 44 (1992), no. 1, 206 -- 214. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces threefolds; Kodaira dimension; plurigenera; irregularity E. Stagnaro, Threefolds with Kodaira dimension 0 or 3, Bollettino U.M.I. (8), 10-B (2007), pp. 1149-1182. Zbl1193.14052 MR2507920 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(D\)-modules; Hodge modules; Hodge filtration; pole order filtration; logarithmic differential forms; simple normal crossing divisors; complements of hypersurfaces; de Rham complex; \(b\)-function; polarized abelian varieties; ample divisors; theta divisors; Prym varieties; semiquasihomogeneous isolated singularities; generic determinantal hypersurfaces; vanishing criteria; Kodaira vanishing theorem; Akizuki-Nakano vanishing theorem; Nadel vanishing theorem; Griffiths vanishing theorem; Artin vanishing theorem | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces height; theorem of Mordell-Weil; v-adic metrics on a very ample line bundle; logarithmic singularities Silverman, J. H.: Theory of height functions. ''Arithmetic geometry'' (1986) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Riemann surface; ample line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces rational conic fibration; ample divisor; sectional genus; inflection point | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces logarithmic Kodaira dimension; affine-ruled; classification; open algebraic surfaces; peeling; almost minimal models; Mori theory; Jacobian problem Miyanishi, M. and Tsunoda, S. , Open algebraic surfaces with Kodaira dimension - \infty and logarithmic del Pezzo surfaces of rank 1 , Proc. AMS Summer Institute, Brunswick, 1985. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projective bundle; 4-folds; hyperplane section; extension of holomorphic map; ample and spanned line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle; rational curves; scroll; degenerate dual variety A. Lanteri andM. Palleschi, Projective manifolds containing many rational curves,Indiana Univ. Math. J. 36 (1987), 857--865. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces toric variety; generators of defining ideal; ample line bundle Ogata, S.; Nakagawa, K., On generators of ideals defining projective toric varieties, Manuscripta Mathematica, 108, 33-42, (2002) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces abelian variety; very ampleness of tensor power of ample line bundle Ohbuchi, A.: Some remarks on ample line bundles on abelian varieties. Manusc. Math.57, 225--238 (1987) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces homogeneous space; ample line bundle; Koszul ring Ravi, M. S.: Coordinate rings of G/P are Koszul, J. algebra 177, No. 2, 367-371 (1995) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces holomorphic vector bundle; primary Kodaira surface; non-algebraic complex surfaces; holomorphic vector bundles on compact complex surface Aprodu, M; Brînzănescu, V; Toma, M, Holomorphic vector bundles on primary Kodaira surfaces, Math. Z., 242, 63-73, (2002) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces extension of projective line bundle; 4-dimensional complex projective variety; local complete intersection; ample divisor; stable rank-2 vector bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira dimension; del Pezzo fibre space; spanned by global sections; tautological bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Dynkin diagram; ample line bundle; negative Euler characteristic | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Weierstrass point; Brill-Noether theory; Kodaira dimension; degenerations; smoothings of linear series; moduli space of curves of genus g; monodromy group Eisenbud, D., Harris, J.: The irreducibility of some families of linear series. (Preprint 1984) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjunction; ample and spanned vector bundle; 2-very ampleness; adjoint line bunele | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces determinant line bundle; vertex operators; loop group; Kac-Moody Lie algebras; affine algebras; infinite-dimensional Lie groups; central extensions; circle group; Grassmannian; polarized Hilbert space; Schubert cell decomposition; homogeneous space; complex manifold; Borel-Weil theory; spin representation; Kac character formula; Bernstein-Gel'fand- Gel'fand resolution | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces computer algebra; linear system; trigonal curves of genus five; vanishing sequence of the canonical line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjoint bundle; adjunction process; minimal reduction; very ampleness criterion of line bundles on surfaces [SV] Sommese, A.J., Van de Ven, A.: ''On the adjunction mapping'',Math. Ann.,278, 593--603 (1987) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth projective variety; line bundles; natural filtration; Gauss map; complex simply-connected simple Lie group; irreducible \(G\)-module; miniscule root; regular dominant weights; positive root; ample line bundle J. Wahl, Gaussian maps and tensor products of irreducible representations, Manuscripta Math. 73 (1991), no. 3, 22959. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces harmonic theta series; Kodaira dimension; moduli space of principally polarized complex abelian varieties | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundle; first birational contraction | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces platonic fibre space; non-complete algebraic surfaces; surfaces with logarithmic Kodaira dimension \(-\infty\); Affine ruledness Miyanishi M., Tsunoda S.: Logarithmic del Pezzo surfaces of rank one with noncontractible boundaries. Jpn. J. Math. (N.S.) 10(2), 271--319 (1984) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Jacobian; negativity of the tangent bundle; complex projective surfaces; Kodaira surfaces M. Schneider, Complex surfaces with negative tangent bundle, Complex analysis and algebraic geometry (Göttingen, 1985), Lecture Notes in Math., 1194, pp. 150--157, Springer-Verlag, Berlin, 1986. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces lattice polytopes; polarized varieties; toric varieties; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces line bundle; Kähler form; positive current; Zariski decomposition; ample cone; Mori cone Olivier Debarre, Classes de cohomologie positives dans les variétés kählériennes compactes (d'après Boucksom, Demailly, Nakayama, Păun, Peternell et al.), Astérisque 307 (2006), Exp. No. 943, viii, 199 -- 228 (French, with French summary). Séminaire Bourbaki. Vol. 2004/2005. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(k\)-very ample line bundle; blowing-up of the plane | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vanishing theorem; Kähler V-manifold; k-ample line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces triple points; elliptic quintic scrolls; surfaces contained in quadric hypersurfaces; sectional genus; quadrisecant lines Aure, A. B., The smooth surfaces in \(\mathbf{P}^4\) without apparent triple points, Duke Math. J., 57, 423-430, (1988) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces line bundle cohomology; del Pezzo surfaces; Hirzebruch surfaces | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vanishing theorem; ample line bundle; smooth projective manifold Liu, K.-F.; Yang, X.-K., Effective vanishing theorems for ample and globally generated vector bundles, Commun. Anal. Geom., 23, 4, 797-818, (2015) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces irregularity; polarized surfaces; type of divisor; quasi-polarized surface DOI: 10.1023/A:1004962327823 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces characteristic \(p\) techniques; smooth projective surface; ample line bundle; adjunction mapping M. Andreatta and E. Ballico, \textit{Classification of projective surfaces with small sectional genus: char \(p > 0\)}, Rend. Sem. Mat. Univ. Padova, 84 (1990), pp. 175--193. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces cotangent bundle; smooth fibration; Kodaira spencer map; ample vector bundle Jabbusch, K.: Notions of Positivity for Vector Bundles. PhD thesis, University of Washington. ProQuest LLC, Ann Arbor (2007) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces morphism induced by linear series on a smooth complex curve; Clifford dimension; very ample line bundles; double coverings; Clifford index Ballico E. -Keem Ch.,A remark on the Clifford index and higher order Clifford indices, J. Korean Math. Soc.,28 (1991), pp. 37--43. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli space of abelian surfaces with polarization; quotient of the Siegel upper half space; holomorphic 3-forms; Jacobi cusp forms; Kodaira dimension Valeri Gritsenko, Irrationality of the moduli spaces of polarized abelian surfaces, Abelian varieties (Egloffstein, 1993) de Gruyter, Berlin, 1995, pp. 63 -- 84. With an appendix by the author and K. Hulek. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ampleness of numerically positive line bundle; nup line bundles; quasi- polarized variety Beltrametti M.C., Sommese A.J.: Remarks on numerically positive and big line bundles. In: Ballico, E. (eds) Projective Geometry and Applications, vol. 166, pp. 9--18. Marcel Dekker, New York (1994) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira dimension 1; morphisms; contractible surfaces; punctured Riemann surface | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjunction theory; Albanese variety; ample and spanned vector bundle; curve genus A. LANTERI - H. MAEDA - A. J. SOMMESE, Ample and spanned vector bundles of minimal curve genus, Arch. Math., 66 (1996), pp. 141-149. Zbl0853.14022 MR1367156 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundles; nef value; polarised projective manifold; nef line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces compact complex surface; second cohomology; Hodge structure; infinitesimal Torelli problem; elliptic surfaces; elliptic bundle; Kodaira surfaces M.-H. Saitō, On the infinitesimal Torelli problem of elliptic surfaces, J. Math. Kyoto Univ. 23 (1983), 441--460. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces class; surface of general type; very ample divisor; sectional genus; \(\Delta\)-genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Schreieder's varieties; Kodaira dimension; elliptic modular surfaces; \(K3\) surfaces | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quasi-étale morphisms; Kodaira dimension; surfaces of general type F. Catanese, Q.E.D. for algebraic varieties , with an appendix by S. Rollenske, J. Differential Geom. 77 (2007), 43-75. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces surfaces; Ulrich bundles; arithmetically Cohen-Macaulay; geometric genus; irregularity | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces nonnegative Kodaira-Iitaka dimension; volumes line bundles; asymptotic multiplier ideal sheaf | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces classification of normal Moishezon surfaces; Kodaira dimension F. Sakai , Classification of normal surfaces , Proc. Symp. in Pure Math. , 46 , part 1 ( 1987 ) A.M.S. , pp. 451 - 465 . MR 927967 | Zbl 0636.14013 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vanishing arithmetic genus; Kodaira dimension; threefold; Gorenstein minimal model; stability of the sheaf of regular 1-forms P. M. H. Wilson, On regular threefolds with \(\kappa =0\) , Invent. Math. 76 (1984), no. 2, 345-355. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundles; line bundles on Del Pezzo surfaces; divisors [5] Sandra Di Rocco, &\(k\)-very ample line bundles on del Pezzo surfaces&#xMath. Nachr.179 (1996), p. 4Article | &Zbl 0870. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces spannedness; jet ampleness; higher order embeddings; ampleness; abelian surface; ample line bundle; global generation; very ampleness \auTh. Bauer and T. Szemberg, Primitive higher order embeddings of abelian surfaces, \tiTrans. Amer. Math. Soc., , 349 ( (1997),)\spg1675-\epg1683. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Hodge metric; adjoint line bundle; semi-ample line bundle; Griffiths positive vector bundle Mourougane, C; Takayama, S, Hodge metrics and positivity of direct images, J. Reine Angew. Math., 606, 167-178, (2007) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces almost nonpositive holomorphic sectional curvature; positivity of the canonical line bundle; non-existence of rational curve; nef threshold; Miyaoka-Yau type inequality | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces determinant line bundle; vertex operators; loop group; Kac-Moody Lie algebras; affine algebras; infinite-dimensional Lie groups; central extensions; circle group; Grassmannian; polarized Hilbert space; Schubert cell decomposition; homogeneous space; complex manifold; Borel-Weil theory; spin representation; Kac character formula; Bernstein-Gel'fand- Gel'fand resolution A. Pressley and G. Segal, \textit{Loop Groups} (Clarendon Press, Oxford, 1988). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces surfaces of degree 5; surfaces of degree 6; \(\Delta \) -genus; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces CM line bundle; KSBA stable; K-stability; stable variety; ample; moduli space Patakfalvi, Zsolt; Xu, Chenyang, Ampleness of the {CM} line bundle on the moduli space of canonically polarized varieties, Algebraic Geometry, 4, 29-39, (2017) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundles; adjunction theory; polarized varieties; curve genus; special varieties; Fano manifolds | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundle; grassmannian; ample line bundle I. Biswas and A. J. Parameswaran, On vector bundles on curves over \(\overline{\mathbb{F}}_{p}\) , C. R. Math. Acad. Sci. Paris 350 (2012), 213-216. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle on an abelian variety; homogeneous ideal; syzygies G. Pareschi, Syzygies of abelian varieties , J. Amer. Math. Soc. 13 (2000), 651--664., http://www.ams.org/jams. JSTOR: | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle; Del Pezzo manifolds of degree 5 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces projectively simple rings; twisted homogeneous coordinate rings; noncommutative projective algebraic geometry; graded algebras; Artin-Schelter regular algebras; ample line bundles; Abelian varieties; Gelfand-Kirillov dimension Z. Reichstein, D. Rogalski, and J. J. Zhang, \textit{Projectively simple rings}, Adv. Math., 203:2 (2006), 365--407. MR2227726 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundle; arrangements; Nakai criterion; surfaces with ample canonical bundles; Hirzebruch surfaces Spurr M.: Branched coverings of surfaces with ample cotangent bundle. Pac. J. Math. 164, 129--146 (1994) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces holomorphic foliations; complex projective surfaces; Kodaira dimension Brunella, M., Birational geometry of foliations, (IMPA Mathematical Publications, (2004), Instituto de Matemática Pura e Aplicada (IMPA) Rio de Janeiro), MR2114696 (2005k:32037) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces covering of stable genus three curves; fibre of Prym map; abelian surface; symmetric theta divisor; Satake compactification of the moduli space of principally polarized abelian surfaces Verra, A.: The fiber of the Prym map in genus 3. Math. Ann. 276, 433--448 (1987) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces classifying projective algebraic surfaces with low sectional genus; rational surface; adjunction mapping Biancofiore, A., Livorni, E.: On the Iteration of the Adjunction Process in the Study of Rational Surfaces. Indiana Math. J.36 (no. 1), 167--188 (1987) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Quasi-polarized variety; sectional genus; Non-negativity Fujita conjecture Höring, A., The sectional genus of quasi-polarised varieties, Arch. Math. (Basel), 95, 125-133, (2010) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces degeneration of surfaces; Kodaira dimension; logarithmic transformations K. Ueno, Degenerations of elliptic surfaces and certain non-Kähler manifolds , Classification of algebraic and analytic manifolds (Katata, 1982), Progress in Mathematics, vol. 39, Birkhäuser Boston, Boston, MA, 1983, pp. 545-566. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces K3 surface; ample line bundle; jet ampleness Bauer, Th.; Di Rocco, S.; Szemberg, T., Generation of jets on \(K\)3 surfaces, J. Pure Appl. Algebra, 146, 17-27, (2000) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces automorphic forms; Borcherds products; Jacobi modular forms; Kac-Moody algebras; affine Lie algebras; moduli spaces; K3-surfaces; Calabi-Yau varieties; Kodaira dimension; Hecke Eigenfunctions | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces stable sheaves on Enriques surfaces; Kodaira dimension; singularities Yamada, K, Singularities and Kodaira dimension of moduli scheme of stable sheaves on Enriques surfaces, Kyoto J. Math., 53, 145-153, (2013) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces curves with very-ample half-canonical line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces restriction of stable bundles; characteristic \(p\); ample line bundles; moduli space of stable bundle DOI: 10.1090/S0002-9947-97-02072-2 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polynomial ring in two variables; nontrivial embedding of affine; line into affine plane; logarithmic Kodaira dimension; characteristic p; coordinate line Richard Ganong, Kodaira dimension of embeddings of the line in the plane, J. Math. Kyoto Univ. 25 (1985), no. 4, 649 -- 657. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces spanned vector bundles; vector bundles on surfaces; \(k\)-spanned line bundle; adjoint line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus three; \(\Delta\)-genus; polarized manifold DOI: 10.1007/s000130050247 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundle; regular (projective) surface; linear projection A. NOMA, Very ample line bundles on regular surfaces obtained by projection, preprint (received September 2nd, 2005). Zbl1108.14008 MR2271360 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic surfaces; intersection theory; singularities; ruled surfaces; quasielliptic fibrations; minimal model theory; canonical dimension; Enriques-Kodaira classification of algebraic surfaces; characteristic \(p\); elliptic fibrations; rational surfaces Bădescu, L., Algebraic surfaces, Universitext, (2001), Springer-Verlag New York, Translated from the 1981 Romanian original by Vladimir Maşek and revised by the author. MR 1805816 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle; Gorenstein variety; 3-folds whose canonical bundles are not numerically effective Sommese, A. J. (1986). On the adjunction theoretic structure of projective varieties. In:Complex Analysis and Algebraic Geometry (Göttingen, 1985).Lecture Notes in Math., Vol. 1194. Berlin: Springer, pp. 175--213. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundle; complex projective manifold; del Pezzo manifolds Lanteri, A.; Palleschi, M.; Sommese, A. J., Del Pezzo surfaces as hyperplane sections, J. Math. Soc. Japan, 49, 3, 501-529, (1997) | 0 |
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