On the 2-typical de Rham-Witt complex

Abstract

In this paper we introduce the 2-typical de Rham-Witt complex for arbitrary commutative, unital rings and log-rings. We describe this complex for the rings and (2), for the log-ring ((2),M) with the canonical log-structure, and we describe its behaviour under polynomial extensions. In an appendix we also describe the p-typical de Rham-Witt complex of ((p),M) for p odd.

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