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Anti-cyclotomic Euler system of diagonal cycles
Published 2 Aug 2024 in math.NT | (2408.01219v1)
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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