1. the absolute and relative de rham–witt complexes
- Author
-
Lars Hesselholt
- Subjects
Algebra ,Gauss–Manin connection ,Pure mathematics ,Mathematics::Algebraic Geometry ,Algebra and Number Theory ,Chern–Weil homomorphism ,Absolute (philosophy) ,Mathematics::K-Theory and Homology ,Crystalline cohomology ,De Rham cohomology ,Mathematics::Algebraic Topology ,Mathematics ,Connection (mathematics) - Abstract
We compare the absolute and relative de Rham-Witt complexes considered by the author and Madsen [5, 4] and by Langer and Zink [10], which both generalize the classical de Rham-Witt complex of Bloch, Deligne, and Illusie [7] from Fp-schemes to Z(p)-schemes. From this comparison, we derive a Gauss-Manin connection on the crystalline cohomology of X/Wn(S) for a smooth family X/S.
- Published
- 2005
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