English

On distribution relations of polylogarithmic Eisenstein classes

Number Theory 2025-07-15 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2309.10938,
  title  = {On distribution relations of polylogarithmic Eisenstein classes},
  author = {Syed Waqar Ali Shah},
  journal= {arXiv preprint arXiv:2309.10938},
  year   = {2025}
}

Comments

Final version. To appear in Doc. Math

R2 v1 2026-06-28T12:26:39.904Z