Harder-Narasimhan strata and p -adic period domains

We revisit the Harder-Narasimhan stratification on a minuscule p-adic flag variety, by the theory of modifications of G-bundles on the Fargues-Fontaine curve. We compare the Harder-Narasimhan strata with the Newton strata introduced by Caraiani-Scholze. As a consequence, we get further equivalent co...

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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2023-05, Vol.376 (5), p.3319-3376
Main Author: Shen, Xu
Format: Article
Language:English
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Research article
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Summary:We revisit the Harder-Narasimhan stratification on a minuscule p-adic flag variety, by the theory of modifications of G-bundles on the Fargues-Fontaine curve. We compare the Harder-Narasimhan strata with the Newton strata introduced by Caraiani-Scholze. As a consequence, we get further equivalent conditions in terms of p-adic Hodge-Tate period domains for fully Hodge-Newton decomposable pairs. Moreover, we generalize these results to arbitrary cocharacters case by considering the associated B_{dR}^+-affine Schubert varieties. Applying Hodge-Tate period maps, our constructions give applications to p-adic geometry of Shimura varieties and their local analogues.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/8859