JournalsprimsVol. 50, No. 4pp. 589–661

Variations of Mixed Hodge Structure and Semipositivity Theorems

  • Osamu Fujino

    Osaka University, Japan

  • Taro Fujisawa

    Tokyo Denki University, Japan
Variations of Mixed Hodge Structure and Semipositivity Theorems cover
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Abstract

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.

Cite this article

Osamu Fujino, Taro Fujisawa, Variations of Mixed Hodge Structure and Semipositivity Theorems. Publ. Res. Inst. Math. Sci. 50 (2014), no. 4, pp. 589–661

DOI 10.4171/PRIMS/145