FROBENIUS GAUGES AND A NEW THEORY OF p-TORSION SHEAVES IN CHARACTERISTIC p

Fontaine, Jean-Marc and Jannsen, Uwe (2021) FROBENIUS GAUGES AND A NEW THEORY OF p-TORSION SHEAVES IN CHARACTERISTIC p. DOCUMENTA MATHEMATICA, 26. pp. 65-101. ISSN 1431-0643

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Abstract

We develop a new cohomology theory in characteristic p>0, the so called F-gauge cohomology, a cohomology with values in the category of so-called F-gauges, which refines the crystalline cohomology. We mainly discuss the theory for smooth projective varieties over perfect fields of characteristic p. We also compare our theory with other existing structures like the F-zips of Moonen and Wedhorn and the displays of Langer and Zink.

Item Type: Article
Uncontrolled Keywords: Gauges; p-torsion sheaves; gauge cohomology
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Uwe Jannsen
Depositing User: Dr. Gernot Deinzer
Date Deposited: 10 Aug 2022 11:54
Last Modified: 10 Aug 2022 11:54
URI: https://pred.uni-regensburg.de/id/eprint/46504

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