Explicit Hecke descent for special cycles
Number Theory
2025-07-01 v2
Abstract
We derive an explicit formula for the action of a geometric Hecke correspondence on special cycles on a Shimura variety in terms of such cycles at a fixed neat level and compare it with another closely related expression sometimes used in literature. We provide evidence that the two formulas do not agree in general.
Cite
@article{arxiv.2310.01677,
title = {Explicit Hecke descent for special cycles},
author = {Syed Waqar Ali Shah},
journal= {arXiv preprint arXiv:2310.01677},
year = {2025}
}
Comments
Final version. To appear in Algebra & Number Theory