Global Prym–Torelli theorem for double coverings of elliptic curves

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2018-12-19 DOI:10.14231/ag-2020-019

A. Ikeda

引用次数: 11

Abstract

The Prym variety for a branched double covering of a nonsingular projective curve is defined as a polarized abelian variety. We prove that any double covering of an elliptic curve which has more than $4$ branch points is recovered from its Prym variety.

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椭圆曲线二重覆盖的全局Prym–Torelli定理

将非奇异投影曲线的分支二重覆盖的Prym变种定义为极化阿贝尔变种。我们证明了具有超过$4$分支点的椭圆曲线的任何二重覆盖都是从其Prym变种中恢复的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.