The p-rank stratification on the Siegel moduli space with Iwahori level structure
Algebraic Geometry
2017-03-10 v4
Abstract
Our concern in this paper is to describe the p-rank statification on the Siegel moduli space with Iwahori level structure over fields of positive characteristic. We calculate the dimension of the strata and describe the closure of a given stratum in terms of p-rank strata. We also examine the relationship between the p-rank stratification and the Kottwitz-Rapoport stratification.
Keywords
Cite
@article{arxiv.1109.5061,
title = {The p-rank stratification on the Siegel moduli space with Iwahori level structure},
author = {Paul Hamacher},
journal= {arXiv preprint arXiv:1109.5061},
year = {2017}
}
Comments
29 pages; v2: new result Theorem 0.2 (2c), revised section 3; v3: Added formula for number of top-dimensional KR strata v4: simplified formula and corrected mistakes of v3