Generic vanishing and minimal cohomology classes on abelian varieties

被引：22
|
作者：
Pareschi, Giuseppe
Popa, Mihnea
机构：
[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA
[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
来源：
MATHEMATISCHE ANNALEN | 2008年 / 340卷 / 01期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/s00208-007-0146-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish a-and conjecture further-relationship between the existence of subvarieties representing minimal cohomology classes on principally polarized abelian varieties, and the generic vanishing of the cohomology of twisted ideal sheaves. The main ingredient is the Generic Vanishing criterion established in Pareschi G. and Popa M. (GV-sheaves, Fourier-Mukai transform, and Generic Vanishing. Preprint math.AG/0608127), based on the Fourier-Mukai transform.
引用
收藏
页码：209 / 222
页数：14
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