Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On two mod p period maps: Ekedahl--Oort and fine Deligne--Lusztig
  stratifications   Consider a Shimura variety of Hodge type admitting a smooth integral model S
at an odd prime p>3. Consider its perfectoid cover S(p^\infty) and the
Hodge-Tate period map introduced by A. Caraiani and P. Scholze. We compare the
pull-back to S(p^\infty) of the Ekedahl-Oort stratification on the mod p
special fiber of S and the pull back to S(p^\infty) of the fine Deligne-Lusztig
stratification on the mod p special fiber of the flag variety which is the
target of the Hodge-Tate period map. An application to the non-emptiness of
Ekedhal-Oort strata is provided.

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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio