Geodesic
Integral crystalline cohomology over very ramified valuation rings
Faltings, Gerd1
1Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, 53225 Bonn, Germany
Journal of the American Mathematical Society, Tome 12 (1999) no. 1, pp. 117-144

Voir la notice de l'article provenant de la source American Mathematical Society

We explain how to set up an integral version ($\mathbb {Z}_{p}$ as opposed to $\mathbb {Q}_{p}$) of Fontaine’s comparison between crystalline and étale cohomology, over $p$-adic fields with arbitrary ramification index. The main results then are that Fontaine’s map respects integrality of Tate-cycles, and a construction of versal deformations of $p$-divisible groups with Tate-cycles. An appendix deals with finite generation of crystalline cohomology.
DOI : 10.1090/S0894-0347-99-00273-8

Faltings, Gerd  1

1 Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, 53225 Bonn, Germany 
Faltings, Gerd. Integral crystalline cohomology over very ramified valuation rings. Journal of the American Mathematical Society, Tome 12 (1999) no. 1, pp. 117-144. doi: 10.1090/S0894-0347-99-00273-8
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