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arXiv · 2201.02078

Eisenstein degeneration of Euler systems

David Loeffler·Óscar Rivero
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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.

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David Loeffler, Óscar Rivero. 2022-01-06. Eisenstein degeneration of Euler systems. https://doi.org/10.1515/crelle-2024-0057

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