关于0阶柯利瓦金系统的理论

IF 0.3 4区数学 Q4 MATHEMATICS Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-01-26 DOI:10.5802/jtnb.1189

Ryotaro Sakamoto

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引用次数: 2

摘要

本文定义了秩为0的柯利瓦金系统，并发展了秩为0的柯利瓦金系统的理论。特别地，我们证明了在标准假设下，秩0的Kolyvagin系统的模不存在秩1。

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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On the theory of Kolyvagin systems of rank 0

In this paper, we define a Kolyvagin system of rank 0 and develop the theory of Kolyvagin systems of rank 0. In particular, we prove that the module of Kolyvagin systems of rank 0 is free of rank one under standard assumptions.

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