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arXiv · 2105.11049

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

Yoshiyasu Ozeki
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Abstract

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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Yoshiyasu Ozeki. 2021-05-24. Torsion of algebraic groups and iterate extensions associated with Lubin-Tate formal groups. https://arxiv.org/abs/2105.11049

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