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) |
|---|---|
| Pages (from-to) | 2419-2460 |
| Number of pages | 42 |
| Journal | Geometry and Topology |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| State | Published - May 19 2017 |
Funding
During the preparation of this paper Schnell has been partially supported by the NSF grant DMS-1404947, Popa by the NSF grant DMS-1405516 and Pareschi by the MIUR PRIN project Geometry of algebraic varieties.
ASJC Scopus subject areas
- Geometry and Topology