On the uniform Rasmussen–Tamagawa conjecture in the CM case

We prove a uniform version of a finiteness conjecture due to Rasmussen and Tamagawa in the case of CM abelian varieties. This extends the result of A. Bourdon [“A uniform version of a finiteness conjecture for CM elliptic curves”, Math. Res. Lett. 22 (2015), no. 2, 403–416] from elliptic curves to abelian varieties of arbitrary dimension.

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Received 14 January 2016

Accepted 16 August 2017

Published 25 March 2019