Abstract
We extend the results of generic vanishing theory to polarizable real Hodge modules on compact complex tori, and from there to arbitrary compact Kähler manifolds. As applications, we obtain a bimeromorphic characterization of compact complex tori (among compact Kähler manifolds), semipositivity results and a description of the Leray filtration for maps to tori.
Original language | English (US) |
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Pages (from-to) | 2419-2460 |
Number of pages | 42 |
Journal | Geometry and Topology |
Volume | 21 |
Issue number | 4 |
DOIs | |
State | Published - May 19 2017 |
ASJC Scopus subject areas
- Geometry and Topology