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Normalization of closed Ekedahl-Oort strata

  • Jean-Stefan Koskivirta,
    Department of Mathematics, Imperial College, London
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Abstract

We apply our theory of partial flag spaces developed with W. Goldring to study a group-theoretical generalization of the canonical filtration of a truncated Barsotti-Tate group of level 1. As an application, we determine explicitly the normalization of the Zariski closures of Ekedahl-Oort strata of Shimura varieties of Hodge-type as certain closed coarse strata in the associated partial flag spaces.
Keywords: Ekedahl-Oort stratification, Shimura variety Ekedahl-Oort stratification, Shimura variety
MSC Classifications: 14K10, 20G40, 11G18 show english descriptions Algebraic moduli, classification [See also 11G15]
Linear algebraic groups over finite fields
Arithmetic aspects of modular and Shimura varieties [See also 14G35]
14K10 - Algebraic moduli, classification [See also 11G15]
20G40 - Linear algebraic groups over finite fields
11G18 - Arithmetic aspects of modular and Shimura varieties [See also 14G35]
 

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