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A De Rham–Witt approach to crystalline rational homotopy theory

Published online by Cambridge University Press:  04 December 2007

Minhyong Kim  and
Richard M. Hain
Minhyong Kim
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA and Korea Institute For Advanced Study, 207-43 Cheongryangri-Dong, Dongdaemun-Gu, Seoul, Koreakim@math.arizona.edu
Richard M. Hain
Affiliation:
Department of Mathematics, Duke University, Durham, NC 27708, USAhain@math.duke.edu
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Abstract

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We give a definition of the crystalline fundamental group of suitable log schemes in positive characteristic using the techniques of rational homotopy theory applied to the De Rham–Witt complex.

Keywords

De Rham–Witt complexbar complexcrystalline cohomology14G40
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 5 , September 2004 , pp. 1245 - 1276
Copyright
Foundation Compositio Mathematica 2004