Anti-cyclotomic Euler system of diagonal cycles

2024/08/02 by Lai, Shilin, Skinner, Christopher
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2408.01219

Abstract

We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group GL_n\timesGL_n+1. As a result, we make progress towards certain rank 1 cases of the Beilinson--Bloch--Kato conjecture for those representations.

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