Eisenstein degeneration of Euler systems-Reference-Cited by-同舟云学术

Eisenstein degeneration of Euler systems

Published:2024-08-21 Issue: Volume: Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Loeffler David¹^ORCID,Rivero Salgado Oscar²^ORCID

Affiliation:

1. Mathematics Institute , University of Warwick , Coventry , United Kingdom ; and Faculty of Mathematics and Computer Science, UniDistance Suisse, 3900 Brig, Switzerland

2. Mathematics Institute , University of Warwick , Coventry , United Kingdom ; and Departamento de Matemáticas and Centro de Investigación e Tecnoloxía Matemática de Galicia, Universidade de Santiago de Compostela, Spain

Abstract

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.

Funder

European Research Council

Royal Society

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2024-0057/pdf

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