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Poincaré Duality for Logarithmic Crystalline Cohomology

Published online by Cambridge University Press:  04 December 2007

TAKESHI TSUJI
TAKESHI TSUJI
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-01, Japan
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Abstract

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We prove Poincaré duality for logarithmic crystalline cohomology of log smooth schemes whose underlying schemes are reduced. This is a generalization of the result of P. Berthelot for usual smooth schemes and that of O. Hyodo for the special fibers of semi-stable families and trivial coefficients.

Keywords

Logarithmic crystalline cohomologyPoincaré duality.
Type
Research Article
Information
Compositio Mathematica , Volume 118 , Issue 1 , August 1999 , pp. 11 - 41
Copyright
© 1999 Kluwer Academic Publishers