椭圆曲线的色Selmer群与算术不变量

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.1190

Florian Ito Sprung

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引用次数: 1

摘要

色Selmer群是具有超奇异素数p的局部信息的改进Selmer群。我们在第2-5节中描绘了它们在建立Birch–Swinnerton Dyer公式的p主部分中的作用，然后在第6节中研究了Mordell–Weil秩沿着p分裂的二次虚数域的Zp扩展的增长。

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Chromatic Selmer groups and arithmetic invariants of elliptic curves

Chromatic Selmer groups are modified Selmer groups with local information for supersingular primes p. We sketch their role in establishing the p-primary part of the Birch–Swinnerton-Dyer formula in Sections 2–5, and then study the growth of the Mordell–Weil rank along the Zp-extension of a quadratic imaginary number field in which p splits in Section 6.

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来源期刊

Journal De Theorie Des Nombres De Bordeaux MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The Journal de Théorie des Nombres de Bordeaux publishes original papers on number theory and related topics (not published elsewhere).