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On the 2-typical de Rham-Witt complex

2007/10/09 by Viorel Costeanu, Costeanu, Viorel
Mathematics · #13K05 #19D55 #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #math.KT #math.NT #msc:13K05 #msc:19D55

paper · pdf · doi:10.48550/arxiv.0710.1664

36 pages

arxiv created 2007/10/09 · arxiv updated 2009/12/01

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 \Z and \Z(2), for the log-ring (\Z(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 (\Z(p),M) for p odd.

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