Torsion of abelian varieties and Lubin-Tate extensions

Yoshiyasu Ozeki

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arXiv · 1806.07515

Torsion of abelian varieties and Lubin-Tate extensions

Yoshiyasu Ozeki

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Abstract

We show that, for an abelian variety defined over a $p$-adic field $K$ which has potential good reduction, its torsion subgroup with values in the composite field of $K$ and a certain Lubin-Tate extension over a $p$-adic field is finite.

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Yoshiyasu Ozeki. 2018-06-20. Torsion of abelian varieties and Lubin-Tate extensions. https://arxiv.org/abs/1806.07515

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