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arXiv · 2306.04567

Eisenstein congruences among Euler systems

Óscar Rivero·Victor Rotger
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Abstract

We investigate Eisenstein congruences between the so-called Euler systems of Garrett--Rankin--Selberg type. This includes the cohomology classes of Beilinson--Kato, Beilinson--Flach and diagonal cycles. The proofs crucially rely on different known versions of the Bloch--Kato conjecture, and are based on the study of the Perrin-Riou formalism and the comparison between the different $p$-adic $L$-functions.

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Óscar Rivero, Victor Rotger. 2023-06-07. Eisenstein congruences among Euler systems. https://arxiv.org/abs/2306.04567

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