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arXiv · 1505.00635

Hodge modules on complex tori and generic vanishing for compact K\"ahler manifolds

Giuseppe Pareschi·Mihnea Popa·Christian Schnell
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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.

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Giuseppe Pareschi, Mihnea Popa, Christian Schnell. 2015-05-04. Hodge modules on complex tori and generic vanishing for compact K\"ahler manifolds. https://arxiv.org/abs/1505.00635

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