Variations of mixed Hodge structure and semi-positivity theorems
arXiv:1203.6697
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.
75 pages, v2: simplify some arguments, v3: major revision following referee's report, v4: a mistake in Section 4 was fixed