Versal families of elliptic curves with rational 3-torsion

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9429

B. Bekker, Y. Zarhin

引用次数: 0

Abstract

For an arbitrary field of characteristic different from 2 and 3, we construct versal families of elliptic curves whose 3-torsion is either rational or isomorphic to as a Galois module. Bibliography: 10 titles.

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具有有理3-扭转的椭圆曲线的一般族

对于特征不同于2和3的任意域，我们构造了3-扭转为有理或同构为伽罗瓦模的椭圆曲线族。参考书目:10篇。

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

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis