The p-rank stratification on the Siegel moduli space with Iwahori level structure
arXiv:1109.5061 · doi:10.1007/s00229-013-0616-z
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.
arXiv comment29 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