Singular hermitian metrics and the decomposition theorem of Catanese, Fujita, and Kawamata

DOI10.1090/proc/16625arXiv2210.01087MaRDI QIDQ6083343

Luigi Lombardi, Christian Schnell

Publication date: 31 October 2023

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

Full work available at URL: https://arxiv.org/abs/2210.01087

zbMATH Keywords

direct images of relative pluricanonical sheavesflat-ample decomposition

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Sheaves in algebraic geometry (14F06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kodaira dimension of algebraic fiber spaces over abelian varieties
• Pushforwards of pluricanonical bundles under morphisms to abelian varieties
• Théoremes de Bertini et applications
• Higher direct images of dualizing sheaves. I
• The theorem of Grauert-Mülich-Spindler
• The sheaf of relative canonical forms of a Kähler fiber space over a curve
• Fujita decomposition over higher dimensional base
• Hodge modules and singular Hermitian metrics
• Positivity of twisted relative pluricanonical bundles and their direct images
• Hodge metrics and the curvature of higher direct images
• Slopes of vector bundles on projective curves and applications to tight closure problems
• Answer to a question by Fujita on Variation of Hodge Structures
• Algebraic fiber spaces over abelian varieties: Around a recent theorem by Cao and Păun
• Almost nef regular foliations and Fujita's decomposition of reflexive sheaves
• ON PROJECTIVE MANIFOLDS WITH PSEUDO-EFFECTIVE TANGENT BUNDLE

This page was built for publication: Singular hermitian metrics and the decomposition theorem of Catanese, Fujita, and Kawamata