On two mod p period maps: Ekedahl–Oort and fine Deligne–Lusztig stratifications
نویسندگان
چکیده
Abstract Consider a Shimura variety of Hodge type admitting smooth integral model S at an odd prime $$p\ge 5$$ p ≥ 5 . its perfectoid cover $$S^{\text {ad}}(p^\infty )$$ S ad ( ∞ ) and the Hodge–Tate period map introduced by Caraiani Scholze. We compare pull-back to Ekedahl–Oort stratification on mod p special fiber toroidal compactification pull back $$S^\text {ad}(p^\infty fine Deligne–Lusztig flag which is target map. An application non-emptiness Ekedhal–Oort strata provided.
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2022
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-021-02356-7