Variations of Mixed Hodge Structure and Semipositivity Theorems

Osamu Fujino, Taro Fujisawa

Type: Article

Publication Date: 2014-10-22

Citations: 55

DOI: https://doi.org/10.4171/prims/145

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.

Locations

Publications of the Research Institute for Mathematical Sciences - View
arXiv (Cornell University) - View - PDF
Kyoto University Research Information Repository (Kyoto University) - View - PDF

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+	Fundamental Algebraic Geometry	2006	Barbara Fantechi Lothar Göttsche Luc Illusie Steven L. Kleiman Nitin Nitsure Angelo Vistoli