Some remarks on Ekedahl-Oort stratifications

Zhang, Chao

doi:10.11650/tjm/201207

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Some remarks on Ekedahl-Oort stratifications

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Zhang, Chao
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.11650/tjm/201207
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https://doi.org/10.48550/arXiv.1401.6632
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Citation

Zhang, C. (2021). Some remarks on Ekedahl-Oort stratifications. Taiwanese Journal of Mathematics, 25(4), 665-679. doi:10.11650/tjm/201207.

Cite as: https://hdl.handle.net/21.11116/0000-0007-FE19-0

Abstract

We study independence of symplectic embeddings of the theory of Ekedahl–Oort stratifications on Shimura varieties of Hodge type, by comparing two different embeddings with a third one. The main results are as follows.

1. The Ekedahl–Oort stratification is independent of the choices of symplectic embeddings.

2. Under certain reasonable assumptions, there is certain functoriality for Ekedahl–Oort stratifications with respect to morphisms of Shimura varieties.