Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs

DOI10.3792/pjaa.91.112zbMath1349.14066arXiv1501.00741OpenAlexW2963929541MaRDI QIDQ738009

Osamu Fujino

Publication date: 12 August 2016

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00741

zbMATH Keywords

Kodaira vanishing theoremlog-canonical pairssemi-log-canonical pairsvanishing theorem of Reid-Fukuda type

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (5)

Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic \(p>0\) and log weak Lefschetz conjecture for log crystalline cohomologies ⋮ Some Kollár-Enoki type injectivity theorems on compact Kähler manifolds ⋮ On quasi-log schemes ⋮ Semipositivity theorems for moduli problems ⋮ Injectivity theorem for pseudo-effective line bundles and its applications

Cites Work

• Basepoint-free theorem of Reid-Fukuda type for quasi-log schemes
• Variations of mixed Hodge structure and semipositivity theorems
• Fundamental theorems for the log minimal model program
• The canonical sheaf of Du Bois singularities
• On injectivity, vanishing and torsion-free theorems for algebraic varieties
• Higher direct images of log canonical divisors
• Resolution of singularities of pairs preserving semi-simple normal crossings
• Pull-back of quasi-log structures
• Some remarks on the minimal model program for log canonical pairs
• Introduction to the theory of quasi-log varieties
• Fundamental theorems for semi log canonical pairs

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