Smoothness of the truncated display functor

DOI10.1090/S0894-0347-2012-00744-9zbMath1273.14040arXiv1006.2723OpenAlexW2093353532MaRDI QIDQ4922273

Eike Lau

Publication date: 29 May 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.2723

zbMATH Keywords

algebraic stacks\(p\)-divisible groupsdisplaysDieudonne modules

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30) Formal groups, (p)-divisible groups (14L05)

Related Items

\(\mathcal{O}\)-displays and \(\pi\)-divisible formal \(\mathcal{O}\)-modules ⋮ Prismatic Dieudonné Theory ⋮ On the generic part of the cohomology of compact unitary Shimura varieties ⋮ Boundedness of the p-primary torsion of the Brauer group of an abelian variety ⋮ \(G\)-displays of Hodge type and formal \(p\)-divisible groups ⋮ A local construction of zip period maps of Shimura varieties ⋮ Regular formal moduli spaces and arithmetic transfer conjectures ⋮ TRUNCATED BARSOTTI–TATE GROUPS AND DISPLAYS ⋮ On the Chow ring of the stack of truncated Barsotti-Tate groups ⋮ EKOR strata for Shimura varieties with parahoric level structure ⋮ Newton polygons arising from special families of cyclic covers of the projective line ⋮ Higher frames and \(G\)-displays ⋮ Displays and \(p\)-divisible groups ⋮ Dieudonné theory over semiperfect rings and perfectoid rings ⋮ \(l\)-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

Cites Work

• Frames and finite group schemes over complete regular local rings
• Newton polygons and formal groups: Conjectures by Manin and Grothendieck
• Displays and formal \(p\)-divisible groups
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• Purity of level $m$ stratifications
• General Néron desingularization and approximation
• Théorie de Dieudonné sur un anneau de valuation parfait
• A few theorems on completion of excellent rings
• DE RHAMWITT COHOMOLOGY FOR A PROPER AND SMOOTH MORPHISM
• Period Spaces for "p"-divisible Groups (AM-141)
• Crystalline representations and F-crystals
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