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.File in questo prodotto:
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