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VOL. 65 | 2015 Variation of mixed Hodge structures and the positivity for algebraic fiber spaces
Yujiro Kawamata

Editor(s) Jungkai Alfred Chen, Meng Chen, Yujiro Kawamata, JongHae Keum

Abstract

These are the lecture notes based on earlier papers with some additional new results. New and simple proofs are given for local freeness theorem and the semipositivity theorem. A decomposition theorem for higher direct images of dualizing sheaves of Kollár is extended to the sheaves of differential forms of arbitrary degrees in the case of a well prepared birational model. We will also prove the log versions of some of the results, i.e., the case where we allow horizontal boundary components.

Information

Published: 1 January 2015
First available in Project Euclid: 19 October 2018

zbMATH: 1360.14034
MathSciNet: MR3380774

Digital Object Identifier: 10.2969/aspm/06510027

Subjects:
Primary: 14D07
Secondary: 14E30, 32G20

Rights: Copyright © 2015 Mathematical Society of Japan

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