On The Hecke Orbit Conjecture for PEL Type Shimura Varieties
Number Theory
2020-06-15 v1 Algebraic Geometry
Abstract
The Hecke orbit conjecture asserts that every prime-to- Hecke orbit in a Shimura variety is dense in the central leaf containing it. In this paper, we prove the conjecture for certain irreducible components of Newton strata in Shimura varieties of PEL type A and C, when is an unramified prime of good reduction. Our approach generalizes Chai and Oort's method for Siegel modular varieties.
Cite
@article{arxiv.2006.06859,
title = {On The Hecke Orbit Conjecture for PEL Type Shimura Varieties},
author = {Luciena Xiao Xiao},
journal= {arXiv preprint arXiv:2006.06859},
year = {2020}
}