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Hodge modules on complex
tori and generic vanishing for compact Kähler manifolds
Giuseppe Pareschi, Mihnea Popa and Christian Schnell |
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Geometry & Topology 21 (2017) 2419–2460
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Abstract |
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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. |
Keywords
generic vanishing, complex torus, Hodge modules, Kähler
manifold
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Mathematical Subject Classification 2010
Primary: 14C30
Secondary: 14F17
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References |
Publication
Received: 3 March 2016
Accepted: 8 October 2016
Published: 19 May 2017
Proposed: Richard Thomas
Seconded: Jim Bryan, Dan Abramovich
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Authors |
| Giuseppe Pareschi | |
| Dipartimento di Matematica Università di Roma “Tor Vergata” Via Della Ricerca Scientifica I-00133 Roma Italy |
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| Mihnea Popa | |
| Department of Mathematics Northwestern University 2033 Sheridan Road Evanston, IL 60208 United States |
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| Christian Schnell | |
| Department of Mathematics Stony Brook University Stony Brook, NY 11794 United States |
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