A generalization of a theorem of Imai and its applications to Iwasawa theory

Yusuke Kubo; Yuichiro Taguchi

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arXiv · 1304.4332

A generalization of a theorem of Imai and its applications to Iwasawa theory

Yusuke Kubo·Yuichiro Taguchi

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Abstract

It is proved that, if $K$ is a complete discrete valuation field of mixed characteristic $(0,p)$ with residue field satisfying a mild condition, then any abelian variety over $K$ with potentially good reduction has finite $K(K^{1/p^\infty})$-rational torsion subgroup. This can be used to remove certain conditions assumed in some theorems in Iwasawa theory.

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Yusuke Kubo, Yuichiro Taguchi. 2013-04-16. A generalization of a theorem of Imai and its applications to Iwasawa theory. https://arxiv.org/abs/1304.4332

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