On the sectional invariants of polarized manifolds

DOI10.1016/j.jpaa.2006.05.023zbMath1106.14003OpenAlexW2003400048WikidataQ112881977 ScholiaQ112881977MaRDI QIDQ863898

Yoshiaki Fukuma

Publication date: 12 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.05.023

Mathematics Subject Classification ID

(4)-folds (14J35) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40) (3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (n)-folds ((n>4)) (14J40)

Related Items (5)

Sectional invariants of scroll over a smooth projective variety ⋮ Second sectional classes of polarized three-folds ⋮ A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number ⋮ Sectional invariants of hyperquadric fibrations over a smooth projective curve ⋮ Unnamed Item

Cites Work

• Vanishing theorems on complex manifolds
• The adjunction theory of complex projective varieties
• A formula for the sectional geometric genus of quasi-polarized manifolds by using intersection numbers
• On the second sectional \(H\)-arithmetic genus of polarized manifolds
• Toward a numerical theory of ampleness
• On the Sectional Geometric Genus of Quasi-Polarized Varieties. I
• On the second sectional geometric genus of quasi-polarized manifolds
• A lower bound for the second sectional geometric genus of polarized manifolds
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