Integral comparison of Monsky–Washnitzer and overconvergent de Rham–Witt cohomology
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- by Veronika Ertl and Johannes Sprang HTML | PDF
- Proc. Amer. Math. Soc. Ser. B 5 (2018), 64-72
Abstract:
The goal of this short 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 $p$.
Résumé. Le but de ce travail est de prolonger un résultat de Christopher Davis et David Zureick-Brown concernant la comparaison entre la cohomologie de Monsky–Washnitzer entière et la cohomologie de de Rham–Witt surconvergente d’une variété lisse sur un corps parfait de charactéristique positive $p$ à tous les degrés cohomologiques indépendent de la dimension de base et du nombre premier $p$.
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Additional Information
- Veronika Ertl
- Affiliation: Fakultät für Mathematik, Universität Regensburg, 93053 Regensburg, Germany
- MR Author ID: 1169710
- Johannes Sprang
- Affiliation: Fakultät für Mathematik, Universität Regensburg, 93053 Regensburg, Germany
- MR Author ID: 1038054
- Received by editor(s): April 6, 2018
- Received by editor(s) in revised form: July 10, 2018, and July 16, 2018
- Published electronically: November 14, 2018
- Additional Notes: The first author was supported by a habilitation grant through the Bavarian government.
The second author was supported by DFG through CRC 1085. - Communicated by: Rachel Pries
- © Copyright 2018 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
- Journal: Proc. Amer. Math. Soc. Ser. B 5 (2018), 64-72
- MSC (2010): Primary 14F30; Secondary 14F40, 13K05
- DOI: https://doi.org/10.1090/bproc/38
- MathSciNet review: 3876137