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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: niziol@math.utah.edu
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Abstract

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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