Banach-Colmez spaces and coherent sheaves on the Fargues-Fontaine curve

DOI10.1215/00127094-2018-0034zbMath1439.14085arXiv1801.00422OpenAlexW2782109404MaRDI QIDQ1712813

Arthur-César Le Bras

Publication date: 31 January 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00422

zbMATH Keywords

\(p\)-adic Hodge theoryperfectoid spacesBanach-Colmez spacesFargues-Fontaine curveproétale cohomology

Mathematics Subject Classification ID

Rigid analytic geometry (14G22) (p)-adic cohomology, crystalline cohomology (14F30) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Perfectoid spaces and mixed characteristic (14G45)

Related Items (11)

EXTENSIONS OF VECTOR BUNDLES ON THE FARGUES-FONTAINE CURVE ⋮ Line bundles on rigid spaces in thev-topology ⋮ Perfectoid Spaces: An Annotated Bibliography ⋮ Rigid analytic \(p\)-divisible groups. II ⋮ On the Cohomology of the Affine Space ⋮ Classification of quotient bundles on the Fargues-Fontaine curve ⋮ The smooth locus in infinite-level Rapoport–Zink spaces ⋮ Almost \(\mathbb{C}_p\) Galois representations and vector bundles ⋮ Cohomology of \(p\)-adic Stein spaces ⋮ Geometric syntomic cohomology and vector bundles on the Fargues-Fontaine curve ⋮ Hodge theory of $p$-adic varieties: a survey

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Integral \(p\)-adic Hodge theory-announcement
• Proalgebraic groups
• Théorie de Dieudonne cristalline. II
• Vektorraumbündel über nichtarchimedischen holomorphen Räumen
• Extensions du groupe additif
• Étale cohomology for non-Archimedean analytic spaces
• Almost \(C_p\)-representation
• Flops and derived categories.
• de Rham cohomology of rigid spaces
• On the comparison theorem for étale cohomology of non-Archimedean analytic spaces
• Cohomology of \(p\)-adic Stein spaces
• Rigid analytix \(p\)-divisible groups
• Moduli of \(p\)-divisible groups
• Complexe cotangent et déformations. II
• -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES
• The pro-\'etale topology for schemes
• Sur les groupes de Lie formels à un paramètre
• Solutions d'équations à coefficients dans un anneau hensélien
• Duality in the flat cohomology of a surface
• Notes on Crystalline Cohomology. (MN-21)
• ESPACES DE BANACH DE DIMENSION FINIE
• Tilting in abelian categories and quasitilted algebras
• Simple connexité des fibres d'une application d'Abel-Jacobi et corps de classe local
• On the Cohomology of the Affine Space
• G-torseurs en théorie de Hodgep-adique
• Geometric syntomic cohomology and vector bundles on the Fargues-Fontaine curve
• Relative p-adic Hodge theory: Foundations
• Perfectoid Spaces: A survey
• Des catégories abéliennes

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