The absolute and relative de Rham-Witt complexes, by Lars Hesselholt

We compare the absolute and relative de Rham-Witt complexes considered by the author and Madsen and by Langer and Zink, which both generalize the classical de Rham-Witt complex of Bloch, Deligne, and Illusie from F_p-schemes to Z_(p)-schemes. From this comparison, we derive a Gauss-Manin connection on the crystalline cohomology of X/W_n(S) for a smooth family X/S.


Lars Hesselholt <larsh@math.mit.edu>