LEFSCHETZ FOR LOCAL PICARD GROUPS

被引：0

作者：

Bhatt, Bhargav ^{[1
]}

de Jong, Aise Johan ^{[2
]}

机构：

[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

[2] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2014年 / 47卷 / 04期

基金：

美国国家科学基金会;

关键词：

SHEAVES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a strengthening of the Grothendieck-Lefschetz hyperplane theorem for local Picard groups conjectured by Kollar. Our approach, which relies on acyclicity results for absolute integral closures, also leads to a restriction theorem for higher rank bundles on projective varieties in positive characteristic.

引用

页码：833 / 849

页数：17

共 21 条

[1] Vector bundles over normal varieties trivialized by finite morphisms [J].