A De Rham–Witt approach to crystalline rational homotopy theory

DOI10.1112/S0010437X04000442zbMath1086.14021arXivmath/0105008OpenAlexW2125498737MaRDI QIDQ4822906

Minhyong Kim, Richard M. Hain

Publication date: 25 October 2004

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

Full work available at URL: https://arxiv.org/abs/math/0105008

zbMATH Keywords

weight filtrationcrystalline cohomologybar complexde Rham-Witt complexmixed isocrystal

Mathematics Subject Classification ID

Arithmetic varieties and schemes; Arakelov theory; heights (14G40) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (7)

On the homotopy exact sequence for log algebraic fundamental groups ⋮ Rigid rational homotopy types ⋮ \(F\)-isocrystals and homotopy types ⋮ Algebraic de Rham theory for the relative completion of 𝑆𝐿₂(ℤ) ⋮ Rational motivic path spaces and Kim's relative unipotent Section conjecture ⋮ Massey products for elliptic curves of rank 1 ⋮ Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary

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