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

被引：19

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.

引用

页码：2419 / 2460

页数：42

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