On polarized surfaces (𝑋,𝐿) with ℎ⁰(𝐿)>0, 𝜅(𝑋)=2, and 𝑔(𝐿)=𝑞(𝑋)

DOI10.1090/S0002-9947-96-01705-9zbMath0878.14005MaRDI QIDQ4717117

Yoshiaki Fukuma

Publication date: 5 January 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

irregularityKodaira dimensionline bundlesectional genusFujita conjecture

Mathematics Subject Classification ID

Surfaces of general type (14J29) Divisors, linear systems, invertible sheaves (14C20)

Related Items (5)

On the Sectional Geometric Genus of Quasi-Polarized Varieties. I ⋮ Remarks on hard Lefschetz conjectures on Chow groups ⋮ On quasi-polarized manifolds whose sectional genus is equal to the irregularity ⋮ A lower bound for \((K_X+tL)L^{n-1}\) of quasi-polarized manifolds \((X,L)\) with \(\kappa(K_X+tL)\geq 0\). ⋮ On Polarized 3-Folds (X,L) Such That <lowercase > h< /lowercase >⁰(L) = 2 and the Sectional Genus of (X,L) is Equal to the Irregularity ofX

Cites Work

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• Algebraic surfaces containing a smooth curve of genus q(S) as an ample divisor
• On the moduli spaces of surfaces of general type. Appendix: Letter of E. Bombieri written to the author
• Weil divisors on normal surfaces
• On the adjunction mapping
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• A lower bound for sectional genus of quasi-polarized manifolds
• Canonical models of surfaces of general type
• Errata to “Classification of three-dimensional flips”
• On the adjunction theoretic structure of projective varieties
• Lectures on Linear Series

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