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arXiv · 1709.07315

Integral Comparison of Monsky-Washnitzer and overconvergent de Rham-Witt cohomology

Veronika Ertl·Johannes Sprang
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Abstract

The goal of this small note is to extend a result by Christopher Davis and David Zureick-Brown on the comparison between integral Monsky-Washnitzer cohomology and overconvergent de~Rham-Witt cohomology for a smooth variety over a perfect field of positive characteristic $p$ to all cohomological degrees independent of the dimension of the base or the prime number $p$. Le but de ce travail est de prolonger un r\'esultat de Christopher Davis et David Zureick-Brown concernant la comparaison entre la cohomologie de Monsky-Washnitzer enti\`ere et la cohomologie de de~Rham-Witt surconvergente d'une vari\'et\'e lisse sur un coprs parfait de charact\'eristique positive $p$ \`a tous les degr\'es cohomologiques ind\'epnedent de la dimension de base et du nombre premier $p$.

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Veronika Ertl, Johannes Sprang. 2017-09-21. Integral Comparison of Monsky-Washnitzer and overconvergent de Rham-Witt cohomology. https://doi.org/10.1090/bproc%2F38

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