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 |
|---|---|
| Pages (from-to) | 2419-2460 |
| Number of pages | 42 |
| Journal | Geometry and Topology |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| State | Published - May 19 2017 |
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