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

被引：21
|
作者：
Pareschi, Giuseppe [1 ]
Popa, Mihnea
Schnell, Christian [2 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy
[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
来源：
GEOMETRY & TOPOLOGY | 2017年 / 21卷 / 04期
基金：
美国国家科学基金会;
关键词：
HIGHER DIRECT IMAGES; TORSION POINTS; COHOMOLOGY; SINGULARITIES; VARIETIES; BUNDLES; SHEAVES; THEOREM; SPACES; LOCI;
D O I：
10.2140/gt.2017.21.2419
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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), semipositivity results and a description of the Leray filtration for maps to tori.
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页码：2419 / 2460
页数：42
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