Basic loci of Coxeter type in Shimura varieties Article Swipe
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Ulrich Görtz
,
Xuhua He
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.4310/cjm.2015.v3.n3.a2
· OA: W2620654963
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.4310/cjm.2015.v3.n3.a2
· OA: W2620654963
This paper is a contribution to the general problem of giving an explicit description of the basic locus in the reduction modulo p of Shimura varieties.Motivated by [31] and [25], we classify the cases where the basic locus is (in a natural way) the union of classical Deligne-Lusztig sets associated to Coxeter elements.We show that if this is satisfied, then the Newton strata and Ekedahl-Oort strata have many nice properties.
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