An injectivity theorem

DOI10.1112/S0010437X13007768zbMath1305.14009arXiv1209.6134WikidataQ122932178 ScholiaQ122932178MaRDI QIDQ2877511

Florin Ambro

Publication date: 22 August 2014

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

Full work available at URL: https://arxiv.org/abs/1209.6134

zbMATH Keywords

logarithmic differential formslog varietiesnon-log canonical locustotally canonical locus

Mathematics Subject Classification ID

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

Related Items (8)

Injectivity Theorems with Multiplier Ideal Sheaves and Their Applications ⋮ Injectivity theorems on compact complex manifolds ⋮ A Kollár-type vanishing theorem ⋮ On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves ⋮ Several injectivity theorems on compact Kähler manifolds ⋮ A new definition of analytic adjoint ideal sheaves via the residue functions of log-canonical measures. I ⋮ Injectivity theorem for pseudo-effective line bundles and its applications ⋮ Geometry of logarithmic forms and deformations of complex structures

Cites Work

• Faisceaux algébriques cohérents
• Integrals of the second kind on an algebraic variety
• Higher direct images of dualizing sheaves. I
• Logarithmic de Rham complexes and vanishing theorems
• A generalization of Kodaira-Ramanujam's vanishing theorem
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Complexe de de Rham filtré d'une variété singulière
• Pathologies III
• On a Differential-Geometric Method in the Theory of Analytic Stacks
• On the De Rham cohomology of algebraic varieties

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