Torsion des variétés abéliennes CM

Gaudron, Éric; Rémond, Gaël

doi:10.1090/proc/13885

Torsion des variétés abéliennes CM
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by Éric Gaudron and Gaël Rémond PDF

Proc. Amer. Math. Soc. 146 (2018), 2741-2747 Request permission

Abstract:

In this note, we improve on a result of Silverberg giving an upper bound for the order of a rational torsion point on a CM abelian variety over a number field in terms of the degree of the field and the dimension of the variety. The proof uses the main theorem of complex multiplication and class field theory.

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