A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number

DOI10.1515/ADVGEOM.2008.036zbMath1156.14007OpenAlexW2081852888MaRDI QIDQ3546156

Yoshiaki Fukuma

Publication date: 18 December 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2008.036

zbMATH Keywords

sectional genuspolarized manifoldsectional Euler numberample and spanned line bundlesectional Betti numbersectional Hodge number

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40) Divisors, linear systems, invertible sheaves (14C20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (1)

Second sectional classes of polarized three-folds

Cites Work

• On the sectional invariants of polarized manifolds
• A vector bundle characterization of \({\mathbb{P}}^ n\)
• Varieties with small dual varieties. I
• Varieties with small dual varieties. II
• A Barth-type theorem for branched coverings of projective space
• On the structure of polarized manifolds with total deficiency one. I
• Projective manifolds whose topology is strongly reflected in their hyperplane sections
• On the second sectional \(H\)-arithmetic genus of polarized manifolds
• On the Sectional Geometric Genus of Quasi-Polarized Varieties. I
• Generalized adjunction and applications
• On the discriminant variety of a projective manifold
• Classification of Rank-2 Ample and Spanned Vector Bundles on Surfaces Whose Zero Loci Consist of General Points

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