Geodesic
De Rham-Witt cohomology and displays
Documenta mathematica, Tome 12 (2007), pp. 147-191
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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].
DOI : 10.4171/dm/222
Classification : 14F30, 14F40
Mots-clés : crystalline cohomology 
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     author = {Andreas Langer and Thomas Zink},
     title = {De {Rham-Witt} cohomology and displays},
     journal = {Documenta mathematica},
     pages = {147--191},
     year = {2007},
     volume = {12},
     doi = {10.4171/dm/222},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/222/}
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Andreas Langer; Thomas Zink. De Rham-Witt cohomology and displays. Documenta mathematica, Tome 12 (2007), pp. 147-191. doi: 10.4171/dm/222

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