Anti-cyclotomic Euler system of diagonal cycles
Number Theory
2024-08-05 v1
Abstract
We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group . As a result, we make progress towards certain rank 1 cases of the Beilinson--Bloch--Kato conjecture for those representations.
Keywords
Cite
@article{arxiv.2408.01219,
title = {Anti-cyclotomic Euler system of diagonal cycles},
author = {Shilin Lai and Christopher Skinner},
journal= {arXiv preprint arXiv:2408.01219},
year = {2024}
}
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25 pages