Harder-Narasimhan strata and

نویسندگان

چکیده

We revisit the Harder-Narasimhan stratification on a minuscule p p -adic flag variety, by theory of modifications alttext="upper G"> G encoding="application/x-tex">G -bundles Fargues-Fontaine curve. compare strata with Newton introduced Caraiani-Scholze. As consequence, we get further equivalent conditions in terms Hodge-Tate period domains for fully Hodge-Newton decomposable pairs. Moreover, generalize these results to arbitrary cocharacters case considering associated B Subscript d upper R Superscript plus"> B d R + encoding="application/x-tex">B_{dR}^+ -affine Schubert varieties. Applying maps, our constructions give applications geometry Shimura varieties and their local analogues.

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2023

ISSN: ['2330-0000']

DOI: https://doi.org/10.1090/tran/8859