Maps between local Picard groups

被引：3
作者：
Kollar, Janos [1 ]
机构：
[1] Princeton Univ, Dept Math, Fine Hall,Washington Rd, Princeton, NJ 08544 USA
来源：
ALGEBRAIC GEOMETRY | 2016年 / 3卷 / 04期
关键词：
local Picard group; Grothendieck-Lefschetz hyperplane theorem; normalization; LEFSCHETZ;
D O I：
10.14231/AG-2016-022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper investigates maps between local Picard groups. The main goal is to understand the kernel in two cases: pull-back to the normalization and restriction to a hyperplane section. We give sufficient (and almost necessary) conditions that guarantee that the kernel is finite or of finite type.
引用
收藏
页码：461 / 495
页数：35
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