Ekedahl-Oort strata and Kottwitz-Rapoport strata

Simple item page
dc.creatorGoertz, Ulrich
dc.creatorHoeve, Maarten
dc.date2008-08-19
dc.date.accessioned2026-07-07T09:57:19Z
dc.date.available2026-07-07T09:57:19Z
dc.descriptionWe 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.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0808.2537
dc.identifierhttp://arxiv.org/abs/0808.2537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167300
dc.subjectAlgebraic Geometry
dc.subject14G35; 11G18; 14K10
dc.titleEkedahl-Oort strata and Kottwitz-Rapoport strata
dc.typetext

Files

Collections

arXiv