The smooth locus in infinite-level Rapoport–Zink spaces

DOI10.1112/S0010437X20007332zbMath1460.14057arXiv1903.04588OpenAlexW3095462671MaRDI QIDQ5139304

Jared Weinstein, Alexander B. Ivanov

Publication date: 8 December 2020

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

Full work available at URL: https://arxiv.org/abs/1903.04588

zbMATH Keywords

\(p\)-divisible groupsperfectoid spacesRapoport-Zink spacescohomological smoothnessvector bundles on the Fargues-Fontaine curve

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Modular and Shimura varieties (14G35) Rigid analytic geometry (14G22) Formal groups, (p)-divisible groups (14L05) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

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• Semistable models for modular curves of arbitrary level
• On torsion in the cohomology of locally symmetric varieties
• Banach-Colmez spaces and coherent sheaves on the Fargues-Fontaine curve
• Moduli of \(p\)-divisible groups
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• Composantes connexes géométriques de la tour des espaces de modules de groupes $p$-divisibles
• Néron Models
• Period Spaces for "p"-divisible Groups (AM-141)

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