Ekedahl-Oort strata and Kottwitz-Rapoport strata

Details Ekedahl-Oort strata and Kottwitz-Rapoport strata Ekedahl-Oort strata and Kottwitz-Rapoport strata

2008-08-19

arxiv.org/abs/0808.2537v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

We study the moduli space A_g of g-dimensional principally polarized abelian varieties in positive characteristic, and its variant A_I with Iwahori level structure. Both supersingular Ekedahl-Oort strata and supersingular Kottwitz-Rapoport strata are isomorphic to disjoint unions of Deligne-Lusztig varieties (see [Hoeve 2008] and [Goertz, Yu 2008], resp.). Here we compare these isomorphisms. We also give an explicit description of Kottwitz-Rapoport strata contained in the supersingular locus in the general parahoric case. Finally, we show that every Ekedahl-Oort stratum is isomorphic to a parahoric Kottwitz-Rapoport stratum.

Affiliated with

Also associated with

No associations

Rating

Ekedahl-Oort strata and Kottwitz-Rapoport strata does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ekedahl-Oort strata and Kottwitz-Rapoport strata, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ekedahl-Oort strata and Kottwitz-Rapoport strata will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131926