Characterizing Jacobians via trisecants of the Kummer variety

被引：12

作者：

Krichever, Igor ^{[1
,2
]}

机构：

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

[2] LD Landau Theoret Phys Inst, Moscow 119334, Russia

来源：

ANNALS OF MATHEMATICS | 2010年 / 172卷 / 01期

基金：

美国国家科学基金会;

关键词：

EQUATIONS; CONJECTURE; PROOF;

D O I：

10.4007/annals.2010.172.485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Welters' trisecant conjecture: an indecomposable principally polarized abelian variety X is the Jacobian of a curve if and only if there exists a trisecant of its Kummer variety K(X).

引用

页码：485 / 516

页数：32

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