An integral model of the perfectoid modular curve

DOI10.5802/jep.170zbMath1478.14048arXiv2010.03463OpenAlexW3179825757MaRDI QIDQ2041575

Juan Esteban Rodríguez Camargo

Publication date: 23 July 2021

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03463

zbMATH Keywords

completed cohomologycoherent cohomologyperfectoid modular curve

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Étale and other Grothendieck topologies and (co)homologies (14F20) Local ground fields in algebraic geometry (14G20) Modular and Shimura varieties (14G35) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

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• Perfectoid spaces
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• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
• The pro-\'etale topology for schemes
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Les Schémas de Modules de Courbes Elliptiques
• Berkeley Lectures on p-adic Geometry
• Relative p-adic Hodge theory: Foundations
• Formal moduli for one-parameter formal Lie groups
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