Anti-cyclotomic Euler system of diagonal cycles

Anti-cyclotomic Euler system of diagonal cycles

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 repres...

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Hauptverfasser: Lai, Shilin, Skinner, Christopher
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Number Theory
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Zusammenfassung: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.
DOI:10.48550/arxiv.2408.01219