We extend the results of generic vanishing theory to polarizable real Hodge modules on compact complex tori, and from there to arbitrary compact Kahler manifolds. As applications, we obtain a bimeromorphic characterization of compact complex tori among compact Kahler manifolds, semi-positivity results, and a description of the Leray filtration for maps to tori.

Pareschi, G., Popa, M., Schnell, C. (2017). Hodge modules on complex tori and generic vanishing for compact Kähler manifolds. GEOMETRY & TOPOLOGY, 21(4), 2419-2460 [10.2140/gt.2017.21.2419].

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

PARESCHI, GIUSEPPE;
2017-01-01

Abstract

We extend the results of generic vanishing theory to polarizable real Hodge modules on compact complex tori, and from there to arbitrary compact Kahler manifolds. As applications, we obtain a bimeromorphic characterization of compact complex tori among compact Kahler manifolds, semi-positivity results, and a description of the Leray filtration for maps to tori.
2017
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - GEOMETRIA
English
Hodge modules. Kahler manifolds. Complex tori.
https://msp.org/gt/2017/21-4/p12.xhtml
Pareschi, G., Popa, M., Schnell, C. (2017). Hodge modules on complex tori and generic vanishing for compact Kähler manifolds. GEOMETRY & TOPOLOGY, 21(4), 2419-2460 [10.2140/gt.2017.21.2419].
Pareschi, G; Popa, M; Schnell, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/174367
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