An Euler system for characters over an imaginary biquadratic field

Abstract

Given a pair of modular forms with complex multiplication by distinct imaginary quadratic fields, the four dimensional Galois representation associated to their Rankin--Selberg convolution is induced from a character over an imaginary biquadratic field $F$. Using the Euler system of Lei, Loeffler and Zerbes we bound a Selmer group associated to this character, over the unique ${\mathbb{Z}}_p^3$-extension of $F$.

21 pages

References in corpus (1)

• Euler systems for Rankin--Selberg convolutions of modular forms