Torsion of abelian varieties and Lubin-Tate extensions

2018/06/20 by Yoshiyasu Ozeki, Ozeki, Yoshiyasu · 1 citation
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1806.07515

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.

Cited by

• Torsion of rank-two A-motives values in odd characteristic cyclotomic towers

Related

• Torsion of algebraic groups and iterate extensions associated with Lubin-Tate formal groups
• Torsion points of abelian varieties with values in infinite extensions over a p-adic field
• Torsion bounds for a fixed abelian variety and varying number field
• On the essential torsion finiteness of abelian varieties over torsion fields
• Bounds on torsion of CM abelian varieties over a p-adic field with values in a field of p-power roots