Eisenstein degeneration of Euler systems
Number Theory
2025-02-19 v2
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.
Keywords
Cite
@article{arxiv.2201.02078,
title = {Eisenstein degeneration of Euler systems},
author = {David Loeffler and Óscar Rivero},
journal= {arXiv preprint arXiv:2201.02078},
year = {2025}
}
Comments
In this version, we have expanded some explanations and corrected minor inaccuracies