Hostname: page-component-cb9f654ff-lqqdg Total loading time: 0 Render date: 2025-08-19T10:27:56.472Z Has data issue: false hasContentIssue false
  • English
  • Français

the absolute and relative de rham–witt complexes

Published online by Cambridge University Press:  01 September 2005

lars hesselholt
lars hesselholt
Affiliation:
department of mathematics, massachusetts institute of technology, 77 massachusetts avenue, cambridge, ma 02139-4307, usalarsh@math.mit.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

we compare the absolute and relative de rham–witt complexes considered by hesselholt and madsen (ann. sci. école norm. sup. 37 (2004), 1–43; ann. of math. (2) 158 (2003), 1–113) and by langer and zink (j. inst. math. jussieu 3 (2004), 231–314), which both generalize the classical de rham–witt complex of bloch, deligne, and illusie (ann. sci. école norm. sup. (4) 12 (1979), 501–661) from $\mathbb{f}_p$-schemes to $\mathbb{z}_{(p)}$-schemes. from this comparison, we derive a gauss–manin connection on the crystalline cohomology of x/wn(s) for a smooth family x/s.

Keywords

de rham–witt complexcrystalline cohomologygauss–manin connection11g2511s7014f30

Information

Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 5 , September 2005 , pp. 1109 - 1127
Copyright
foundation compositio mathematica 2005