WebJan 1, 2006 · Illusie, L. (1976). Cohomologie cristalline. In: Séminaire Bourbaki vol. 1974/75 Exposés 453–470. Lecture Notes in Mathematics, vol 514. Springer, Berlin, Heidelberg . … WebMar 15, 2002 · L. Illusie, Réduction semi-stable ordinaire, cohomologie étale p-adique et cohomologie de de Rham d'après Bloch–Kato et Hyodo, appendix to [21]. ... p-adic étale cohomology and crystalline cohomology in the semi-stable reduction case. Invent. Math., 137 (1999), pp. 233-411.
[1204.6560] p-adic derived de Rham cohomology - arXiv.org
Webusing log crystalline cohomology of Y 16 case X=Ssmooth: Berthelot-Ogus isomorphism K WHm(Y=W)! ... In mathematics, crystalline cohomology is a Weil cohomology theory for schemes X over a base field k. Its values H (X/W) are modules over the ring W of Witt vectors over k. It was introduced by Alexander Grothendieck (1966, 1968) and developed by Pierre Berthelot (1974). Crystalline cohomology is partly inspired … See more For schemes in characteristic p, crystalline cohomology theory can handle questions about p-torsion in cohomology groups better than p-adic étale cohomology. This makes it a natural backdrop for much of the work on See more One idea for defining a Weil cohomology theory of a variety X over a field k of characteristic p is to 'lift' it to a variety X* over the ring of Witt vectors of k (that gives back X on See more If X is a scheme over S then the sheaf OX/S is defined by OX/S(T) = coordinate ring of T, where we write T as an abbreviation for an … See more For a variety X over an algebraically closed field of characteristic p > 0, the $${\displaystyle \ell }$$-adic cohomology groups for $${\displaystyle \ell }$$ any prime number other than p give satisfactory cohomology groups of X, with coefficients in the ring See more In characteristic p the most obvious analogue of the crystalline site defined above in characteristic 0 does not work. The reason is roughly that in order to prove exactness of the de Rham complex, one needs some sort of Poincaré lemma, whose proof in turn … See more • Motivic cohomology • De Rham cohomology See more how many wagner soldiers have died
Crystalline cohomology - Andreas Holmstrom
WebCrystalline cohomology is a p-adic cohomology theory for smooth, proper varieties in characteristic p. Our goal will be to understand the construction and basic properties of crystalline cohomology. Topics will depend on interest but may include the de Rham - Witt complex, rigid comohology or the interaction of Frobenius and the Hodge filtration. WebSep 9, 2024 · On endomorphisms of the de Rham cohomology functor Shizhang Li, Shubhodip Mondal We compute the moduli of endomorphisms of the de Rham and crystalline cohomology functors, viewed as a cohomology theory on smooth schemes over truncated Witt vectors. Webtions on crystalline cohomology instead of De Rham cohomology. These filtrations, which we denote again by F Hdg and F con, are (very nearly) p-good (1.1), and a simple abstract construction attaches to any W-module H with a p-good filtration F: v a W-module with an abstract p-good conjugate filtration (H , F ) v an abstract F-span 8 how many wagggs world centres are there