Hodge modules on complex tori and generic vanishing for compact Kähler manifolds

Giuseppe Pareschi, Mihnea Popa, Christian Schnell

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish (US)
Pages (from-to)2419-2460
Number of pages42
JournalGeometry and Topology
Volume21
Issue number4
DOIs
StatePublished - May 19 2017

ASJC Scopus subject areas

  • Geometry and Topology

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