Illusie, L. 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 Cited in 20 Documents MSC: 14F40 de Rham cohomology and algebraic geometry Keywords:De Rham-Witt complex; De Rham-Witt spectral sequences; Poincaré duality; Künneth formula; Katz inequality on Newton polygons Citations:Zbl 0511.00009 × Cite Format Result Cite Review PDF