Numerical dimension and a Kawamata–Viehweg–Nadel-type vanishing theorem on compact Kähler manifolds

DOI10.1112/S0010437X14007398zbMath1323.32012arXiv1210.5692OpenAlexW1973697541MaRDI QIDQ2935408

Junyan Cao

Publication date: 29 December 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5692

zbMATH Keywords

compact Kähler manifoldsvanishing theorempseudo-effective line bundleNadel vanishing theorem

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Compact Kähler manifolds: generalizations, classification (32J27) Vanishing theorems (32L20)

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Cites Work

• A numerical criterion for very ample line bundles
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• Singular holomorphic Morse inequalities
• Numerical characterization of the Kähler cone of a compact Kähler manifold
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• Divisorial Zariski decomposition and algebraic Morse inequalities
• Asymptotic cohomological functions on projective varieties
• Valuations and multiplier ideals
• PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS
• A subadditivity property of multiplier ideals.