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.
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