Jacobians of genus one curves

被引：55

作者：

An, SY ^{[1
]}

Kim, SY ^{[1
]}

Marshall, DC ^{[1
]}

Marshall, SH ^{[1
]}

McCallum, WG ^{[1
]}

Perlis, AR ^{[1
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

JOURNAL OF NUMBER THEORY | 2001年 / 90卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jnth.2000.2632

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider it curve of genus one over a field K in one of three explicit forms: a double cover of P-1, a plane cubic, or a space quartic. For each form, a certain syzygy from classical invariant theory gibes the curve's jacobian in Weierstrass form and the covering map to its jacobian induced by the K-rational divisor at infinity. We give a unified account of all three cases. (C) 2001 Academic Press.

引用

页码：304 / 315

页数：12

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