WebDec 27, 2024 · cohomology respecting various structures, such as their Frobenius actions and filtrations. As an application, when X is a proper smooth formal scheme over OK with K being a p -adic field, we... WebCohomology of the infinitesimal site. Ogus, Arthur. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 8 (1975) no. 3, pp. 295-318. Détail.

Notes on Crystalline Cohomology. (MN-21) - De Gruyter

WebFundamental Groups: Motivation, Computation Methods, and Applications. A Concise Course in Algebraic Topology. Poincaré Duality and Cobordism. Induced … WebWe study several variants of de Rham cohomology for NC- and NP-schemes. The variants include nilcommutative and nil-Poisson versions of the de Rham complex as well as of the cohomology of the infinitesimal site introduced by Grothendieck in Crystals and the de Rham cohomology of schemes, Dix exposés sur la cohomologie des schémas, Masson … shania peoples choice

De Rham-Witt Cohomology for a Proper and Smooth …

WebJul 6, 2024 · Using animated PD-pairs, we develop several approaches to derived crystalline cohomology and establish comparison theorems. As an application, we generalize the … WebSummary: This article starts with a problem motivated by crystal patterns and tilings: the lattice and the point group are not enough to determine the space group. In pursuit of a … 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 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 For a variety X over an algebraically closed field of characteristic p > 0, the $${\displaystyle \ell }$$-adic cohomology groups for 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 … 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 object U → T of Cris(X/S). A crystal on the site Cris(X/S) is a sheaf F of OX/S modules … See more shania rales