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Grothendieck polynomials; Schubert polynomials; double Schubert polynomials locally coherent Grothendieck category; triangulated category; derived category; t-structure; heart of a t-structure Saorín, M., On locally coherent hearts, Pac. J. Math., 287, 1, 199-221, (2017) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials algebraic fundamental group; hyperbolic affine curves; anabelian geometry; Grothendieck's anabelian conjecture T. Szamuely, Le théorème de Tamagawa I. In Courbes semi-stables et groupe fondamental en géométrie algébrique (Luminy, 1998), 185-201, Progr. Math. 187, Birkhäuser, Basel, 2000. Zbl0978.14014 MR1768101 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials flag manifold; Schubert varieties; smoothness; rational smoothness; Billey-Postnikov decomposition; Coxeter group; enumeration; generating function Edward Richmond and William Slofstra, Staircase diagrams and enumeration of smooth Schubert varieties. J. Combin. Theory Ser. A 150 (2017), 328--376. | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials divisor of solutions of a differential equation; Grassmannians of a tangent bundle; intersection numbers; Schubert cycles; divisor of solutions | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials connectedness of intersections of special Schubert varieties; \((d,r)\)- Brill-Noether curve | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials classical problems, Schubert calculus, groups acting on specific manifolds, equivariant algebraic topology of manifolds Allen Knutson & Terence Tao, ``Puzzles and (equivariant) cohomology of Grassmannians'', Duke Math. J.119 (2003) no. 2, p. 221-260 | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials Classical Invariant Theory; Grassmannians; Schubert varieties; homogeneous coordinates Lakshmibai, V.\!; Raghavan, K.\,N.\!, Standard monomial theory, Encyclopaedia of Mathematical Sciences (Invariant Theory and Alg. Transform. Groups VIII) 137, (2008), Springer-Verlag, Berlin | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials étale cohomology; higher regulators; zeta and L-functions; Grothendieck topologies; coverings; fundamental group Bhatt, Bhargav; Scholze, Peter, The pro-étale topology for schemes, Astérisque, 369, 99-201, (2015) | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials characteristic classes; equivariant cohomology; Borel subgroup; symmetric functions; fundamental class; degeneracy loci; weight functions; Schubert cells; Schur expansion; iterated residues | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials constacyclic codes; generator polynomials; separable codes; QECCs | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials general linear group; Young diagrams; invariant polynomials; Poincaré series | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials stable birational equivalence; hypersurface of low degree; Grothendieck ring of varieties | 0 |
Grothendieck polynomials; Schubert polynomials; double Schubert polynomials elliptic curves; pairing based cryptography; cyclotomic polynomials; parameterized families | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces spanned by global sections; polarized surfaces; adjunction process; ample line bundle; sectional genus DOI: 10.1007/BF00147460 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ruled surface; adjunction process; very ample line bundle; Kodaira dimension; sectional genus; minimal model Biancofiore, A., Livorni, E.: On the Iteration of the Adjunction Process for Surfaces of Negative Kodaira Dimension. Manuser. Math.64, 35--44 (1989) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized surface; very ample line bundle; genus; degree; surface of negative Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle; sectional genus; classification of polarized smooth surfaces Beltrametti, M., Lanteri, A., Palleschi, M.: Algebraic surfaces containing an ample divisor of arithmetic genus two. Arkiv för Mat.25, 189-210 (1987). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus; Fujita conjecture; irregularity; line bundle; Kodaira dimension Fukuma, Y.: On polarized surfaces (X,L) with \(h0(L)0,{\kappa}(X)=2\), and \(g(L)=q(X)\). Trans. amer. Math. soc. 348, 4185-4197 (1996) | 1 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces rational curves on sectional surfaces; ample line bundle; morphism associated to linear system; Dynkin diagram; numerically effective divisor; Kodaira dimension FANIA M.L., ''Configurations of rational curves on sectional surfaces of n-folds'', Math. Ann. 275, (1986), 317--325. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle on a compact complex manifold; sectional genus; polarized manifold | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Iitaka dimension of a line bundle; family of dimensions; vector bundles; Kodaira dimension; cotangent genus; complete intersections; low codimensional subvarieties; tori; birational classification of surfaces L. Manivel, Birational invariants of algebraic varieties.J. reine angew. Math. 458 (1995), 63--91. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces classification; ample line bundle; sectional genus; polarized manifold Ishihara, H.: On polarized manifolds of sectional genus three. Kodai Math. J. 18, 328--343 (1995) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus; classification of irregular ruled surfaces; very ample line bundle; iterating the adjunction process Biancofiore A., Livorni E.L.:Algebraic ruled surfaces with low sectional genus.Ricerche di Matematica.Vol.XXXVI,fasc.1{\(\deg\)} (1987) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifold; ample and spanned line bundle; sectional genus; sectional Betti number; sectional Hodge number; sectional Euler number | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized elliptic surfaces; sectional genus two; Kodaira dimension T.Fujita, On certain polarized elliptic surfaces. In: Geometry of Complex Projective Varieties, Proc. Cetraro 1990, 153-163, Rende 1993. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quasi-polarized surface; nef line bundle; big line bundle; Kodaira dimension; irregularity Y. FUKUMA, A lower bound for KX L of quasi-polarized surfaces (X, L) with non-negative Kodaira dimension, Canad. J. Math., 50 (1998), pp. 1209-1235. Zbl0930.14002 MR1657783 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth complex polarized \(n\)-fold; adjunction theory; very ample line bundle; second adjoint line bundle; Kodaira dimension; nef; pluridegrees BELTRAMETTI M.C. and SOMMESE A.J., ''Projective manifolds with small pluridegrees'', to appear Trans. Amer. Math. Soc. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces numerically effective and big line bundle; Gorenstein surface; sectional genus; divisor; intersection; Kodaira dimension Beltrametti M.C., Sommese A.J.: On generically polarized Gorenstein surfaces of sectional genus two. J. Reine Angew. Math. 386, 172--186 (1988) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized variety; multipolarized manifolds; ample line bundle; sectional genus; \(i\)-th sectional genometric genus; \(i\)-th sectional \(H\)-arithmetic genus; adjoint bundle Fukuma, Y., Invariants of ample line bundles on projective varieties and their applications, III, Kodai Math. J., 35, 320-344, (2012) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifolds; nef value; Kodaira dimension; very ample line bundle Beltrametti, M. C.; Sommese, A. J., Special results in adjunction theory in dimension four and five, Ark. Mat., 31, 197-208, (1993) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces semipolarized surfaces; nef line bundle; sectional genus Maeda H.: Nef line bundles on algebraic surfaces. Kodai Math. J. 18, 187--197 (1995) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjunction process; line bundle; \(\Delta\)-genus; sectional genus; quasi- polarized varieties T. Fujita: On quasi-polarized varieties (in preparation). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus; numerically effective canonical divisor; threefold with non-negative Kodaira dimension; very ample linear system | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifold; ample line bundle; adjunction theory; classification; sectional Betti number; sectional invariant | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quasi-polarized variety; sectional genus; \(\Delta\)-genus; line bundle; ladder , A genelarization of the \Delta -genus of polarized varieties, J. Math. Soc. Japan 57 (2005), 1003-1044. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundle; second adjoint line bundle; Kodaira dimension BELTRAMETTI M. C. and SOMMESE A. J., ''On the second adjunction mapping. The case of a 1-dimensional image'', Trans. Amer. Math. Soc. 349 (1997), 3277--3302. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Gorenstein variety; ample line bundle; numerically effective; blow down; stable adjunction mapping; Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample line bundle; \(\Delta\)-genus; classification theory; sectional genus LANTERI, A., On polarized surfaces of ?-genus two. Preprint 1985 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Gorenstein variety; ample line bundle; numerically effective; blow; down; stable adjunction mapping; Kodaira dimension Andreatta, M., The stable adjunction map on Gorenstein varieties. Math. Ann.275 (1986), 305-315 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized varieties; ample line bundles; sectional genus; \(i\)th sectional geometric genus; adjoint bundles Fukuma, Y., On the sectional geometric genus of multi-polarized manifolds and its application, RIMS Kôkyûroku Bessatsu, B9, 97-113, (2008) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifolds; the second \(\Delta \)-genus; the second sectional geometric genus; very ample line bundles , Addendum to | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized varieties; ample line bundles; nef and big line bundles; sectional genus; \(i\)-th sectional geometric genus; \(i\)-th sectional \(H\)-arithmetic genus; \(i\)-th sectional arithmetic genus; adjoint bundles Fukuma, Y., Invariants of ample line bundles on projective varieties and their applications, I, Kodai Math. J., 31, 219-256, (2008) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces nef; big line bundle; quasi-polarized variety; \(\Delta\)-genus; sectional genus; flip conjecture; nefness; log-terminal singularities; scroll Manolache, N.: Globally generated vector bundles on \(\mathbb{P}3\) (2012, preprint). arXiv:1202.5988 [math.AG] | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces algebraic threefold; Kodaira dimension; irregularity; conic bundle; classification; minimal rational surfaces [Bel-Fr]M. Beltrametti, P. Francia, ``Threefolds with negative Kodaira dimension and positive irregularity{'',Nagoya Math. J., 91 (1983), 163--172.} | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized smooth surfaces; ample line bundle; adjunction; \(\Delta\)-genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ample line bundle; jet bundle; class of integral variety; dual variety; degree; scrolls; varieties with low sectional genus E. Ballico, M. Bertolini and C. Turrini, On the class of some projective varieties, Collect. Math. 48 (1997), 281--287. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundle; polarized manifold; classical scroll; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth \(n\)-fold polarized by a very ample line bundle; dimension of the adjoint linear system; adjunction theory; quadric fibrations M.C. Beltrametti - G.M. Besana - A.J. Sommese , On the dimension of the adjoint linear system for quadric fibrations . In: '' Algebraic Geometry and its Applications '', Proceedings of the 8-th Algebraic Geometry Conference, Yaroslavl', 1992 (A. Tikhomirov and A. Tyurin eds.), Aspects of Math. , E 25 , ( 1994 ), 9 - 20 , Vieweg . MR 1282015 | Zbl 0848.14002 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized projective manifold; ample vector bundle; sectional genus Gaiera, Arch. Math. (Basel) 82 pp 495-- (2004) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces singularities of moduli space; normality of moduli space; dimension of moduli space; ample line bundle; Kodaira dimension; minimal surface of general type DOI: 10.1007/BF01231752 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Riemann-Roch theorem; ruled surface; del Pezzo surface; jacobian; irregularity; virtual genus; polarized surface; Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Cartier divisor; codimension \(r\) subvariety; adjunction theory; unnormalized spectral value; very ample line bundle; Kodaira dimension Mauro C. Beltrametti and Andrew J. Sommese, Some effects of the spectral values on reductions, Classification of algebraic varieties (L'Aquila, 1992) Contemp. Math., vol. 162, Amer. Math. Soc., Providence, RI, 1994, pp. 31 -- 48. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces classification of smooth complex algebraic surfaces; ample divisor of arithmetic genus 2; Kodaira dimension 1 F. SERRANO, Elliptic surfaces with an ample divisor of genus 2, Pacific J. Math., 152 (1992), pp. 187-199. Zbl0756.14026 MR1139981 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Ample vector bundle; polarized manifold; multipolarized manifold; sectional geometric genus; sectional H-arithmetic genus; sectional Euler number; sectional Hodge number. Y. Fukuma, Invariants of ample vector bundles on smooth projective varieties, Riv. Mat. Univ. Parma (N.S.) 2 (2011), 273--297. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces spanned line bundle; very ample line bundle; minimal surface; Kodaira dimension; minimal K3 surface; minimal Enriques surface; Clifford index; gonality H. Terakawa, Higher order embeddings of algebraic surfaces of Kodaira dimension zero.Math. Z. 229 (1998), 417--433. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces uniruledness; Kodaira dimension; pseudo-effective line bundle; rational ample class; semi-stable bundle Campana, Frédéric; Peternell, Thomas, Geometric stability of the cotangent bundle and the universal cover of a projective manifold, Bull. Soc. Math. France, 0037-9484, 139, 1, 41-74, (2011) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized projective varieties; arithmetic genus; Euler-Poincaré characteristic; theory of surfaces; Iitaka dimension; Kodaira dimension; Cartier divisor; linear system Y. FUKUMA, On the second sectional H-arithmetic genus of polarized manifolds, Math. Z., 250 (2005), pp. 573-597. Zbl1071.14008 MR2179612 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus; numerically effective canonical divisor; threefold with non-negative Kodaira dimension; very ample linear system; discriminant locus Biancofiore, A.: On the degree of the discriminant locus of a smooth hyperplane section of a threefold with non negative Kodaira dimension. Arch. Math.48, 538-542 (1986). | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quasi-polarized manifolds; Kodaira dimension; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth projective varieties; flag varieties; Miyaoka's semipositivity theorem; cotangent bundle; rational surfaces; divisorial contractions; fibrations; crystalline differential operators; étale fundamental group; semistability; reflexives sheaves; semipositive sheaves; uniruled varieties; Riemann-Hilbert correspondence; stable Higgs bundle; Chern classes; flat connections; Artin's criterion of contractibility; Kodaira dimension; Hirzebruch surface; canonical divisor; surfaces of general type; Barlow's surfaces; del Pezzo surfaces; Fano three-folds | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundle; adjunction; sectional genus Hironobu Ishihara, Some adjunction properties of ample vector bundles, Canad. Math. Bull. 44 (2001), no. 4, 452 -- 458. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces very ampleness; spannedness; embedding; abelian surfaces; ample line bundle; effective divisor Terakawa, H., The \textit{k}-very ampleness and \textit{k}-spannedness on polarized abelian surfaces, Math. Nachr., 195, 1, 237-250, (1998) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces irregularity; polarized manifold; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized surfaces; ample line bundles; spannedness; very ampleness; branched coverings [LP] Lanteri, A., Palleschi, M.: Adjuntion properties of polarized surfaces via Reider's method. Math. Scand.65, 175-188 (1989) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus; adjunction formula; spanned vector bundle; ample vector bundle; elliptic curve Lanteri A. Maeda H. Ample vector bundles of curve genus one preprint | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifold; adjoint bundle; sectional geometric genus; sectional genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quasi-polarized manifold; nef-big divisor; sectional genus; irregularity DOI: 10.1002/mana.3211800105 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces hyperelliptic locus of line bundle; double cover; polarized surfaces of \(\Delta\)-genus Aldo Biancofiore, Maria Lucia Fania, and Antonio Lanteri, Polarized surfaces with hyperelliptic sections, Pacific J. Math. 143 (1990), no. 1, 9 -- 24. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifolds; quasi-polarized manifolds; sectional genus; irregularity; Fujita conjecture | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundle on a compact complex manifold; \(c_ 1\)-sectional genus; classification theory of polarized surfaces; Jacobian varieties; blowing- up Fujita, T., Ample vector bundles of small \(c_{1}\)-sectional genera, J. Math. Kyoto Univ., 29, 1-16, (1989) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized surfaces; Kodaira dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample Cartier divisor; pseudo effective divisor; anti-Kodaira dimension; rational surface; isolated rational singularities; minimal resolution; Zariski decomposition of divisors; dimension formula; anti-genus Sakai, F, Anticanonical models of rational surfaces, Math. Ann., 269, 389-410, (1984) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(\Delta\)-genus; polarized by a very ample line bundle; linear system; classification; adjunction theory Fania M.L., Degree ten manifolds of dimension | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Kodaira energy; nef bundle; big line bundle; Kodaira-Iitaka dimension; spectrum conjecture | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ratios of Chern numbers; surfaces of general type; ample cotangent bundle; line arrangements Sommese, A.J.: On the density of ratios of Chern numbers of algebraic surfaces. Math. Ann.268, 207--221 (1984) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces nef-big divisor; quasi-polarized manifold; sectional genus; irregularity Y. Fukuma, A lower bound for sectional genus of quasi-polarized manifolds, II, preprint, http://www.math.kochi-u.ac.jp/fukuma/preprint.html Zbl0899.14003 MR1601389 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces hyperplane sections; very ample line bundle; spanned line bundle; general position; projective classification of algebraic surfaces; geometrically ruled surfaces Biancofiore A., Pacific Journal of Mathematics 143 pp 9-- (1990) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quasi-polarized 3-folds; divisor; sectional genus; irregularity; polarized manifolds Y. Fukuma, On sectional genus of quasi-polarized \(3\) -folds, Trans. Amer. Math. Soc., 351 (1999), pp. 363-377. Zbl0905.14003 MR1487615 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces dimension of adjoint linear series; positivity of ample line bundles; number of sections; line bundle; multiple point Seshadri constant; very general points Küchle, O, Multiple point Seshadri constants and the dimension of adjoint linear series, Ann. Inst. Fourier (Grenoble), 46, 63-71, (1996) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces complex polarized \(n\)-fold; ample line bundle; nefvalue morphism; Gorenstein; terminal; \(\mathbb{Q}\)-factorial singularities; adjunction theory; special varieties M.C. Beltrametti and S. Di Termini: Higher dimensional polarized varieties with non-integral nef value , Adv. Geom. 3 (2003), 287-299. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces polarized manifold; adjoint bundle; sectional geometric genus | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjoint line bundle; threefold polarized by an ample line bundle; ampleness of the ramification divisor | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces moduli space of abelian surfaces; moduli space of polarized K3 surfaces; canonical line bundle; lifting of the Jacobi modular forms V. Gritsenko, Modular forms and moduli spaces of abelian and \?3 surfaces, Algebra i Analiz 6 (1994), no. 6, 65 -- 102 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 6 (1995), no. 6, 1179 -- 1208. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces ample vector bundle; curve genus; sectional genus DOI: 10.1017/S0305004107000813 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces vector bundle with smooth zero locus; ruled surface as zero locus; classification; ample vector bundle; Kodaira dimension Lanteri A. and Maeda H. (1997). Geometrically ruled surfaces as zero loci of ample vector bundles. Forum Math. 9: 1--15 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces generalized polarized manifold; ample vector bundle; \(c_r\)-sectional Hodge number; \(c_r\)-sectional Betti number; polarized manifold; ample line bundle | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces sectional genus; del Pezzo surface; \(k\)-spanned line bundle A. Lanteri, 2-spanned surfaces of sectional genus six.Ann. Mat. Pura Appl., ((4) 165):197--216, 1993 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces bounded negativiy conjecture; H-constants; surfaces with non-negative Kodaira dimension; local negativity; line configurations | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces smooth complex polarized \(n\)-fold; very ample line bundle; log-general type BELTRAMETTI M.C. and SOMMESE A.J., ''On the degree and the birationality of the second adjunction mapping'', to appear Int. Jour. of Math. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces non-negative Kodaira dimension; numerical invariants; sectional genus; minimal surface; threefold E. L. Livorni, A. J. Sommese, Threefolds of non-negative Kodaira dimension with sectional genus less than or equal to 15. Ann. Sc. Norm. Sup. Pisa (IV), 13 (1986), 537--558. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces surface of general type; sectional genus; irregularity; quasi-polarized surface; symmetric square of a curve | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces surfaces with positive irregularity; Koszul cohomology groups; positive Kodaira dimension Gallego, F.J.; Purnaprajna, B.P., Syzygies of projective surfaces: an overview, J. Ramanujan Math. Sco., 14, 65-93, (1999) | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces multiplicity; local ring; graded linear series; projective scheme; volume of a line bundle; Kodaira-Iitaka dimension S. D. Cutkosky, ''Multiplicities of graded families of linear series and ideals,'' arXiv: 1301.5613 [math.AG]. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces \(k\)-very ample line bundles on surfaces; genus S. Di Rocco,Projective surfaces with k-very ample line bundles of genusk+1, Manuscr. Math.,91 (1996), pp. 35--59. | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces null-correlation; sectional genus; ample vector bundle; Mori theory; Fano 3-folds E. BALLICO, On vector bundles on 3-folds with sectional genus 1, Trans. Amer. Math. Soc., 324 (1991), pp. 135-147. Zbl0729.14030 MR986021 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces bad locus; rude locus; spanned line bundle; linear system; polarized surface; ample line bundle; divisor DOI: 10.1007/s00229-003-0395-z | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces complex \(n\)-folds; ample line bundles; sectional genus Y. FUKUMA, On complex n-folds polarized by an ample line bundle L with dim BsNLNG0, g(L) 4q(X)1m, and h0 (L) Fn1m, Comm. Algebra, 28 (2000), pp. 5769-5782. Zbl1023.14002 MR1808603 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces Del Pezzo manifold; hyperplane section; polarized manifold; ample line bundle; discriminant locus; singular elements of the linear system; degeneracy loci; adjunction; nefness DOI: 10.1515/crll.1996.477.199 | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces quasi-polarized surface; sectional genus; irregularity | 0 |
\(k\)-very ample line bundle; sectional genus; irregularity; Kodaira dimension; polarized surfaces adjunction theory; smooth complex polarized threefold; very ample line bundle; reducible surface section; normal crossing divisors; Hirzebruch surface; scroll DOI: 10.2996/kmj/1071674437 | 0 |
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