On Kummer characters arising from Galois actions on the pro-$p$ fundamental groups of once-punctured CM elliptic curves

Abstract

In this paper, we study certain Kummer characters arising from the pro-$p$ geometric fundamental groups of CM elliptic curves minus their origins (once-punctured CM elliptic curves). These characters may be regarded as analogues of the Soulé characters. We investigate various arithmetic assumptions under which such characters are nontrivial or even surjective.

Cited by in corpus (1)

• On factorizations of certain Kummer characters associated to once-punctured elliptic curves with complex multiplication