Work

Eisenstein degeneration of Euler systems

Year: 2024

Type: article

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.

Source: Journal für die reine und angewandte Mathematik (Crelles Journal)

DOI: 10.1515/crelle-2024-0057

Authors: David Loeffler, Oscar Rivero Salgado

Institutions: University of Warwick, UniDistance Suisse, Universidade de Santiago de Compostela

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,489

Funders: Royal Society, European Research Council