Eisenstein degeneration of Euler systems
arXiv:2201.02078 · doi:10.1515/crelle-2024-0057
Abstract
We discuss the theory of Coleman families interpolating critical-slope Eisenstein series. We apply it to study degeneration phenomena at the level of Euler systems. In particular, this allows us to prove relations between Kato elements, Beilinson--Flach classes and diagonal cycles, and also between Heegner cycles and elliptic units. We expect that this method could be extended to construct new instances of Euler systems.
In this version, we have expanded some explanations and corrected minor inaccuracies