On Mumford's construction of degenerating abelian varieties

被引：41

作者：

Alexeev, V ^{[1
]}

Nakamura, I

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 1999年 / 51卷 / 03期

关键词：

D O I：

10.2748/tmj/1178224770

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a one-dimensional family of abelian varieties equipped with principal theta divisors a canonical limit is constructed as a pair consisting of a reduced projective variety and a Cartier divisor on it. Properties of such pairs are established.

引用

页码：399 / 420

页数：22

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