Hodge modules on complex tori and generic vanishing for compact K\"ahler manifolds
Algebraic Geometry
2016-10-11 v2
Abstract
We extend the results of generic vanishing theory to polarizable real Hodge modules on compact complex tori, and from there to arbitrary compact K\"ahler manifolds. As applications, we obtain a bimeromorphic characterization of compact complex tori among compact K\"ahler manifolds, semi-positivity results, and a description of the Leray filtration for maps to tori.
Keywords
Cite
@article{arxiv.1505.00635,
title = {Hodge modules on complex tori and generic vanishing for compact K\"ahler manifolds},
author = {Giuseppe Pareschi and Mihnea Popa and Christian Schnell},
journal= {arXiv preprint arXiv:1505.00635},
year = {2016}
}
Comments
34 pages. Final version, to appear in Geometry and Topology