Characterizing Jacobians of algebraic curves with involution

被引：0

作者：

Krichever, Igor ^{[1
,2
]}

机构：

[1] Columbia Univ, New York, NY 10025 USA

[2] Natl Res Univ Higher Sch Econ, Skolkovo Inst Sci & Technol, Moscow, Russia

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2024年 / 20卷 / 05期

关键词：

OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give two characterizations of Jacobians of curves with involution having fixed points in the framework of two particular cases of Welter's trisecant conjecture. The geometric form of each of these characterizations is the statement that such Jacobians are exactly those containing a shifted Abelian subvariety whose image under the Kummer map is orthogonal to an explicitly given vector.

引用

页码：2341 / 2378

页数：38

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