Some remarks on the semipositivity theorems

DOI10.4171/PRIMS/125zbMath1326.14018arXiv1302.6180MaRDI QIDQ2444877

Osamu Fujino, Morihiko Saito, Taro Fujisawa

Publication date: 11 April 2014

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6180

zbMATH Keywords

mixed Hodge modulessemipositivity theoremssimple normal crossing varieties

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Related Items (9)

Weak positivity theorem and Frobenius stable canonical rings of geometric generic fibers ⋮ Fundamental properties of basic slc-trivial fibrations. I ⋮ Fundamental properties of basic slc-trivial fibrations. II ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ On quasi-log schemes ⋮ Vanishing and injectivity theorems for Hodge modules ⋮ Semipositivity theorems for moduli problems ⋮ Kodaira-Saito vanishing via Higgs bundles in positive characteristic ⋮ Subadjunction for quasi-log canonical pairs and its applications

Cites Work

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• Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure
• Degeneration of Hodge structures
• Théorie de Hodge. II. (Hodge theory. II)
• Equations différentielles à points singuliers réguliers
• Complexe de de Rham filtré d'une variété singulière

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