Anti-cyclotomic Euler system of diagonal cycles
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.01219
- arXiv:
- arXiv:2408.01219
- Bibcode:
- 2024arXiv240801219L
- Keywords:
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- Mathematics - Number Theory
- E-Print:
- 25 pages