\(F\)-isocrystals and homotopy types

DOI10.1016/j.jpaa.2006.10.006zbMath1122.14017OpenAlexW2000737868MaRDI QIDQ886247

Martin C. Olsson

Publication date: 26 June 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.10.006

zbMATH Keywords

simplicial presheaf\(F\)-isocrystalnonabelian Hodge structure

Mathematics Subject Classification ID

(p)-adic cohomology, crystalline cohomology (14F30) Applied homological algebra and category theory in algebraic topology (55U99) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items (4)

Rigid rational homotopy types ⋮ Galois actions on homotopy groups of algebraic varieties ⋮ A geometric construction of semistable extensions of crystalline representations ⋮ Towards non–abelian 𝑝–adic Hodge theory in the good reduction case

Cites Work

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• F-isocrystals and de Rham cohomology. II: Convergent isocrystals
• Simplicial presheaves
• The de Rham homotopy theory of complex algebraic varieties. I
• The de Rham homotopy theory of complex algebraic varieties. II
• La conjecture de Weil. II
• Hodge cycles, motives, and Shimura varieties
• Real homotopy theory of Kähler manifolds
• Infinitesimal computations in topology
• The algebraic topology of smooth algebraic varieties
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Local projective model structures on simplicial presheaves
• Moduli of representations of the fundamental group of a smooth projective variety. II
• The Hyodo-Kato theorem for rational homotopy types
• Etale homotopy
• Categories tannakiennes
• Fourier transforms and $p$-adic ‘Weil II’
• Schematic homotopy types and non-abelian Hodge theory
• Algebraic and topological aspects of the schematization functor
• $F$-isocrystals and their monodromy groups
• Cohomology of the infinitesimal site
• Notes on Crystalline Cohomology. (MN-21)
• Infinitesimal presentations of the Torelli groups
• The hodge de rham theory of relative malcev completion1
• Relative log convergent cohomology and relative rigid cohomology II
• A De Rham–Witt approach to crystalline rational homotopy theory
• Simplicial homotopy theory

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