On distribution relations of polylogarithmic Eisenstein classes

We show that for Siegel modular varieties of arbitrary genus, the natural distribution relations satisfied by certain integral Eisenstein cohomology classes defined by Kings admit an adelic refinement. This generalizes the classical relations for Siegel units on modular curves.

Authors

Syed Waqar Ali Shah (ORCID: https://orcid.org/0000-0002-6757-9681)

Institutions

University of California, Santa Barbara (US)

Publication Details

Journal: Documenta Mathematica
Published: 2025-07-14
DOI: https://doi.org/10.4171/dm/1010
Primary Topic: Advanced Mathematical Identities
Type: article
Field-Weighted Citation Impact: 0.00

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article

On distribution relations of polylogarithmic Eisenstein classes

Syed Waqar Ali Shah

Jul 14, 2025

Documenta Mathematica

Advanced Mathematical Identities

article

On distribution relations of polylogarithmic Eisenstein classes

Syed Waqar Ali Shah

July 14, 2025article en

Abstract

Documenta MathematicaVol. 30(5)

University of California, Santa Barbara (US)

Openalex Percentile: Top 77%

Advanced Mathematical Identities

DOI Open Access PDF OpenAlex

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On distribution relations of polylogarithmic Eisenstein classes — Syed Waqar Ali Shah · Documenta Mathematica (2025) | TGRS Research Map | TGRS