Adelic Eisenstein classes and divisibility properties of Stickelberger elements

Compositio Mathematica 2026 Open access

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Authors: Alexandros Galanakis, Michael Spieß
DOI: 10.1017/s0010437x26103005
Cited by: 0
References: 23

Abstract

Abstract Nori’s Eisenstein cohomology classes and their integral refinements due to Beilinson, Kings and Levin can be used to obtain simple proofs of the rationality and integrality properties of special values of abelian L -functions of totally real fields. Here, we introduce an adelic refinement of these constructions. This will be used to establish new divisibility properties of Stickelberger elements associated to abelian extensions of totally real fields.

Fields of Study & Subjects

Graph theory and applications Advanced Algebra and Geometry Finite Group Theory Research

Publication details

Journal / source
Compositio Mathematica
Publisher
Cambridge University Press (CUP)
Volume
162
Issue
1
Pages
165–230
Publication date
1 January 2026
Language
EN