Integral comparison of Monsky–Washnitzer and overconvergent de Rham–Witt cohomology
Authors:
Veronika Ertl and Johannes Sprang
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
Published electronically:
November 14, 2018
MathSciNet review:
3876137
Full-text PDF Open Access
View in AMS MathViewer
Abstract | References | Similar Articles | Additional Information
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
Keywords:
Monsky–Washnitzer cohomology,
de Rham–Witt complex,
overconvergent
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
Article copyright:
© Copyright 2018
by the authors under
Creative Commons Attribution-Noncommercial 3.0 License
(CC BY NC 3.0)
