De Rham-Witt cohomology and displays

Langer A, Zink T (2007)
Documenta Mathematica 12: 147-191.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Langer, Andreas; Zink, ThomasUniBi
Abstract / Bemerkung
Displays were introduced to classify formal p-divisible groups over an arbitrary ring R where p is nilpotent. We define a more general notion of display and obtain an exact tensor category. In many examples the crystalline cohomology of a smooth and proper scheme X over R carries a natural display structure. It is constructed from the relative de Rham-Witt complex. For this we refine the comparison between crystalline cohomology and de Rham-Witt cohomology of [LZ]. In the case where R is reduced the display structure is related to the strong divisibility condition of Fontaine [Fo].
Stichworte
crystalline cohomology
Erscheinungsjahr
2007
Zeitschriftentitel
Documenta Mathematica
Band
12
Seite(n)
147-191
ISSN
1431-0643
Page URI
https://pub.uni-bielefeld.de/record/1594412

Zitieren

Langer A, Zink T. De Rham-Witt cohomology and displays. Documenta Mathematica. 2007;12:147-191.
Langer, A., & Zink, T. (2007). De Rham-Witt cohomology and displays. Documenta Mathematica, 12, 147-191.
Langer, A., and Zink, T. (2007). De Rham-Witt cohomology and displays. Documenta Mathematica 12, 147-191.
Langer, A., & Zink, T., 2007. De Rham-Witt cohomology and displays. Documenta Mathematica, 12, p 147-191.
A. Langer and T. Zink, “De Rham-Witt cohomology and displays”, Documenta Mathematica, vol. 12, 2007, pp. 147-191.
Langer, A., Zink, T.: De Rham-Witt cohomology and displays. Documenta Mathematica. 12, 147-191 (2007).
Langer, Andreas, and Zink, Thomas. “De Rham-Witt cohomology and displays”. Documenta Mathematica 12 (2007): 147-191.

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