Crystalline cohomology of algebraic stacks and Hyodo-Kato cohomology / Martin C. Olsson

Auteur principal : Olsson, Martin C., AuteurType de document : MonographieCollection : Astérisque, 316Langue : anglais.Pays: France.Éditeur : Paris : Société Mathématique de France, 2007Description : 1 vol. (412 p.) ; 24 cmISBN: 9782856292495.ISSN: 0303-1179.Bibliographie : Bibliogr. p. [403]-408.Sujet MSC : 14F20, (Co)homology theory in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies
14F30, (Co)homology theory in algebraic geometry, p-adic cohomology, crystalline cohomology
14G20, Arithmetic problems in algebraic geometry. Diophantine geometry, Local ground fields
11G25, Arithmetic algebraic geometry (Diophantine geometry), Varieties over finite and local fields
En-ligne : Résumé
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Séries SMF 316 (Browse shelf(Opens below)) Available 05191-01

The book is organized as follows. 1. Divided power structures on stacks and the crystalline topos 2. Crystals and differential calculus on stacks 3. The Cartier isomorphism and applications 4. De-Rham Witt theory 5. The abstract Hyodo-Kato isomorphism 6. The (ϕ,N,G)-structure on de Rham cohomology 7. A variant construction of the (ϕ,N,G)-structure 8. Comparison with syntomic cohomology 9. Comparison with log geometry in the sense of Fontaine and Illusie (Zentralblatt)

Bibliogr. p. [403]-408

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