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arXiv · 1203.6697

Variations of mixed Hodge structure and semi-positivity theorems

Osamu Fujino·Taro Fujisawa
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Abstract

We discuss the variations of mixed Hodge structure for cohomology with compact support of quasi-projective simple normal crossing pairs. We show that they are graded polarizable admissible variations of mixed Hodge structure. Then we prove a generalization of the Fujita--Kawamata semi-positivity theorem.

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Osamu Fujino, Taro Fujisawa. 2012-03-30. Variations of mixed Hodge structure and semi-positivity theorems. https://arxiv.org/abs/1203.6697

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