A vanishing theorem of Kollár-Ohsawa type

DOI10.1007/s00208-016-1371-8zbMath1372.32028arXiv1511.04222OpenAlexW2964327278MaRDI QIDQ343181

Shin-ichi Matsumura

Publication date: 25 November 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04222

zbMATH Keywords

Harmonic integralsOhsawa-Kollar-type vanishing theorem

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Vanishing theorems (32L20)

Related Items (8)

A Kollár-type vanishing theorem ⋮ Some Kollár-Enoki type injectivity theorems on compact Kähler manifolds ⋮ Relative Bertini type theorem for multiplier ideal sheaves ⋮ A Role of the L2 Method in the Study of Analytic Families ⋮ Variants of Hörmander's theorem on \(q\)-convex manifolds by a technique of infinitely many weights ⋮ Injectivity theorem for pseudo-effective line bundles and its applications ⋮ Cohomology dimension growth for Nakano \(q\)-semipositive line bundles ⋮ Nadel-Nakano vanishing theorems of vector bundles with singular Hermitian metrics

Cites Work

• Unnamed Item
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• A remark on the decomposition theorem for direct images of canonical sheaves tensorized with semipositive vector bundles
• Vanishing theorems on complete Kähler manifolds
• Higher direct images of dualizing sheaves. I
• Higher direct images of dualizing sheaves. II
• Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms
• Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications
• Morphismes surjectifs de fibrés vectoriels semi-positifs
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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