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arxiv: 1806.07515 · v1 · pith:GB4T6BGFnew · submitted 2018-06-20 · 🧮 math.NT

Torsion of abelian varieties and Lubin-Tate extensions

classification 🧮 math.NT
keywords fieldabelianadiclubin-tatetorsioncertaincompositedefined
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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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