Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-24T19:27:38.271Z Has data issue: false hasContentIssue false
  • English
  • Français

Cohomology of Crystalline Smooth Sheaves

Published online by Cambridge University Press:  04 December 2007

Wiesł Nizioł
Wiesł Nizioł
Affiliation:
Department of Mathematics, College of Science, University of Utah, Salt Lake City, UT 84112-0090, U.S.A. E-mail: [email protected]
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 define and study a candidate for ‘arithmetic’ cohomology theory with values in crystalline p-adic smooth sheaves. We show that it injects into arithmetic étale cohomology and prove a duality result.

Keywords

crystalline smooth sheavesPoincaré lemmadescent spectral sequencecohomology supported on the special fiberduality
Type
Research Article
Information
Compositio Mathematica , Volume 129 , Issue 2 , November 2001 , pp. 123 - 147
Copyright
© 2001 Kluwer Academic Publishers