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Finiteness, duality, and Künneth theorems in the cohomology of the De Rham Witt complex. (English) Zbl 0538.14013

Algebraic geometry, Proc. Jap.-Fr. Conf., Tokyo and Kyoto 1982, Lect. Notes Math. 1016, 20-72 (1983).
[For the entire collection see Zbl 0511.00009.]
This paper is a survey of the main properties of the so-called De Rham- Witt complex with particular emphasis on four questions: fine structure of the slope spectral sequence, Poincaré duality, Künneth formula and the Katz inequality on Newton polygons.
Reviewer: A.Conte

MSC:

14F40 de Rham cohomology and algebraic geometry

Citations:

Zbl 0511.00009