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椭圆曲线局部-全局原理的刚性

IF 0.5 3区 数学 Q3 MATHEMATICS
Acta Arithmetica Pub Date : 2023-01-01 DOI:10.4064/aa230101-29-6
Jacob Mayle
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引用次数: 2

摘要

研究了数域上椭圆曲线的两个著名的局部-全局原理的局部条件的刚性。特别地，我们考虑了Serre和Katz的局部-全局扭转原理，以及Sutherland的等基因原理。
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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Rigidity in elliptic curve local-global principles
We study the rigidity of the local conditions in two well-known local-global principles for elliptic curves over number fields. In particular, we consider a local-global principle for torsion due to Serre and Katz, and one for isogenies due to Sutherland.
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来源期刊
Acta Arithmetica
Acta Arithmetica 数学-数学
CiteScore
1.00
自引率
14.30%
发文量
64
审稿时长
4-8 weeks
期刊介绍： The journal publishes papers on the Theory of Numbers.
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