Anti-cyclotomic Euler system of diagonal cycles

Shilin Lai; Christopher Skinner

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arXiv · 2408.01219

Anti-cyclotomic Euler system of diagonal cycles

Shilin Lai·Christopher Skinner

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Abstract

We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group $\mathrm{GL}_n\times\mathrm{GL}_{n+1}$. As a result, we make progress towards certain rank 1 cases of the Beilinson--Bloch--Kato conjecture for those representations.

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Shilin Lai, Christopher Skinner. 2024-08-02. Anti-cyclotomic Euler system of diagonal cycles. https://arxiv.org/abs/2408.01219

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