On nonemptiness of Newton strata in the \(B_{\mathrm{dR}}^+\)-Grassmannian for \(\mathrm{GL}_n\)

DOI10.4171/DM/970MaRDI QIDQ6613381

Serin Hong

Publication date: 2 October 2024

Published in: Documenta Mathematica (Search for Journal in Brave)

zbMATH Keywords

Newton stratification\(B_{\mathrm{dR}}^+\)-Grassmannian\(p\)-adic flag varieties

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Local ground fields in algebraic geometry (14G20) Arithmetic aspects of modular and Shimura varieties (11G18)

Cites Work

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• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• On the generic part of the cohomology of compact unitary Shimura varieties
• On the structure of some \(p\)-adic period domains
• Classification of subbundles on the Fargues-Fontaine curve
• Noetherian Properties of Fargues-Fontaine Curves
• G-torseurs en théorie de Hodgep-adique
• Berkeley Lectures on p-adic Geometry
• Relative p-adic Hodge theory: Foundations
• Harder-Narasimhan strata and 𝑝-adic period domains
• Fargues-Rapoport conjecture for \(p\)-adic period domains in the non-basic case
• On Newton strata in the $B_{dR}^+$-Grassmannian
• Extensions of vector bundles on the Fargues-Fontaine curve. II

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