G-zips and Ekedahl-Oort strata for Hodge type Shimura varieties

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G-zips and Ekedahl-Oort strata for Hodge type Shimura varieties

Title: G-zips and Ekedahl-Oort strata for Hodge type Shimura varieties
Author: Zhang, Chao
Publisher: Mathematical Institute, Faculty of Science, Leiden University
Issue Date: 2013-10-25
Keywords: G-zips
Shimura varieties
Integral canonical models
P-divisible groups
Ekedahl-Oort strata
Abstract: We constructed a G-zip over the special fiber of Kisin's integral canonical model. This induces a morphism from the special fiber to the stack of G-zips. Fibers of this morphism are Ekedahl-Oort strata. We proved that this morphism is smooth, and hence we can transfer results about geometry of the stack of G-zips to results about Ekedahl-Oort strata. In particular, each stratum is smooth, and we know its dimension and closure.
Description: Promotores: S.J. Edixhoven, F. Andreatta
With Summary in Dutch
With Summary in Italian
Faculty: Faculteit der Wiskunde en Natuurwetenschappen
Citation: Zhang, C., 2013, Doctoral Thesis, Leiden University
Handle: http://hdl.handle.net/1887/22044
 

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