The p-rank stratification on the Siegel moduli space with Iwahori level structure

Details The p-rank stratification on the Siegel moduli space with Iwahori level structure The p-rank stratification on the Siegel moduli space with Iwahori level structure

2011-09-23

arxiv.org/abs/1109.5061v2

Mathematics

Algebraic Geometry

25 pages; v2: new result Theorem 0.2 (2c), revised section 3

Scientific paper

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.

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