Cohomologie de De Rham, cohomologie cristalline et representations p- adiques. (De Rham cohomology, crystalline cohomology and p-adic representations). (French) Zbl 0596.14015

Fontaine, Jean-Marc

Algebraic geometry, Proc. Jap.-Fr. Conf., Tokyo and Kyoto 1982, Lect. Notes Math. 1016, 86-108 (1983).

[For the entire collection see Zbl 0511.00009.]
The author studies some properties of the Hodge filtration and applies them to Wintenberger theory and to the construction of Galois representations.

Reviewer: A.Conte

MSC:

14F40	de Rham cohomology and algebraic geometry
14F30	\(p\)-adic cohomology, crystalline cohomology
14C30	Transcendental methods, Hodge theory (algebro-geometric aspects)

Keywords:

De Rham cohomology; Hodge filtration; Galois representations

Citations:

Zbl 0511.00009