与Lubin-Tate形式群相关的代数群的扭转和迭代扩展

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-05-24 DOI:10.2969/jmsj/87238723

Yoshiyasu Ozeki

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引用次数: 0

摘要

我们给出了p进域K上具有无穷次的各种代数扩展L/K的交换代数群的扭转点的有限性结果。我们主要研究以下情况:(1)L是一个阿贝尔扩展，它是一个晶体性质的分裂场(如Lubin-Tate扩展)。(2) L是与Lubin-Tate形式群相关的K的一定迭代推广，熟悉Kummer理论。

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Torsion of algebraic groups and iterate extensions associated with Lubin–Tate formal groups

We show finiteness results on torsion points of commutative algebraic groups over a p-adic field K with values in various algebraic extensions L/K of infinite degree. We mainly study the following cases: (1) L is an abelian extension which is a splitting field of a crystalline character (such as a Lubin-Tate extension). (2) L is a certain iterate extension of K associated with Lubin-Tate formal groups, which is familiar with Kummer theory.

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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).