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1. An Euler system for characters over an imaginary biquadratic field

Author

Lamplugh, Jack

Subjects
Mathematics - Number Theory, Mathematics::Number Theory, FOS: Mathematics, Number Theory (math.NT), 11F80, 11R23
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 $F$., Comment: 21 pages

Published
2016
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