Publications of the Research Institute for Mathematical Sciences
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Published online: 2014-10-22
Variations of Mixed Hodge Structure and Semipositivity TheoremsOsamu Fujino and Taro Fujisawa (1) Osaka University, Japan
(2) Tokyo Denki University, Japan
We discuss 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 semipositivity theorem.
Keywords: variations of mixed Hodge structure, cohomology with compact support, canonical extensions of Hodge bundles, semipositivity theorems
Fujino Osamu, Fujisawa Taro: Variations of Mixed Hodge Structure and Semipositivity Theorems. Publ. Res. Inst. Math. Sci. 50 (2014), 589-661. doi: 10.4171/PRIMS/145