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Anti-cyclotomic Euler system of diagonal cycles

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arxiv 2408.01219 v1 pith:TM2LRV7D submitted 2024-08-02 math.NT

Shilin Lai , Christopher Skinner This is my paper · ORCID
classification math.NT
keywords representationsanti-cyclotomiccertaineulermathrmattachedautomorphicbeilinson--bloch--kato
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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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Cited by 1 Pith paper

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  1. Bessel periods and Selmer groups over ordinary Rankin--Selberg eigenvariety

    math.NT 2024-12 conditional novelty 7.0 of 10

    The paper defines ordinary distributions on Rankin-Selberg eigenvarieties and proves that the Bessel period divisor controls the Selmer group divisor in one direction.

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