Results 11 to 20 of about 167,457 (236)

Comparison of prismatic cohomology and derived de Rham cohomology

open access: yesJournal of the European Mathematical Society, 2023
We establish a comparison isomorphism between prismatic cohomology and derived de Rham cohomology respecting various structures, such as their Frobenius actions and filtrations. As an application, when X is a proper smooth formal scheme over \mathcal{O}_K
Li, Shizhang, Liu, Tong
openaire   +3 more sources

Overconvergent de Rham-Witt cohomology [PDF]

open access: bronzeAnnales scientifiques de l'École normale supérieure, 2011
Le but de ce travail est de construire, pour X une variete lisse sur un corps parfait k de caracteristique finie, un complexe de de Rham-Witt surconvergent W †Ω X/k comme un sous-complexe convenable du complexe de de Rham-Witt de Deligne-Illusie. Ce complexe qui est fonctoriel en X est un complexe de faisceaux etales et une algebre differentielle ...
Chris Davis, Andreas Langer, Thomas Zink
openalex   +6 more sources

p-adic periods and derived de Rham cohomology [PDF]

open access: green, 2011
We construct p-adic period map using derived de Rham cohomology of Illusie and give a simple proof of Fontaine's C_{dR} conjecture.
Alexander Beilinson
openalex   +3 more sources

De Rham Cohomology and Hodge decomposition for Quantum Groups

open access: green, 2000
Let G=G(t,z) be one of the N^2-dimensional bicovariant first order differential calculi for the quantum groups GL_q(N), SL_q(N), O_q(N), or Sp_q(N), where q is a transcendental complex number and z is a regular parameter.
I. Heckenberger, A. Schueler
openalex   +4 more sources

De Rham intersection cohomology for general perversities [PDF]

open access: greenIllinois Journal of Mathematics, 2004
For a stratified pseudomanifold $X$, we have the de Rham Theorem $ \lau{\IH}{*}{\per{p}}{X} = \lau{\IH}{\per{t} - \per{p}}{*}{X}, $ for a perversity $\per{p}$ verifying $\per{0} \leq \per{p} \leq \per{t}$, where $\per{t}$ denotes the top perversity. We extend this result to any perversity $\per{p}$.
Martintxo Saralegi-Aranguren
openalex   +7 more sources

The de Rham Cohomology Classes of Hemi-Slant Submanifolds in Locally Product Riemannian Manifolds [PDF]

open access: goldMathematics
This paper aims to discuss the de Rham cohomology of hemi-slant submanifolds in locally product Riemannian manifolds. The integrability and geodesical invariance conditions of the distributions derived from the definition of a hemi-slant submanifold are ...
Mustafa Gök, Erol Kılıç
doaj   +2 more sources

The de Rham cohomology of the Suzuki curves [PDF]

open access: greenArithmetic Geometry: Computation and Applications, 2017
For a natural number $m$, let $\mathcal{S}_m/\mathbb{F}_2$ be the $m$th Suzuki curve. We study the mod $2$ Dieudonne module of $\mathcal{S}_m$, which gives the equivalent information as the Ekedahl-Oort type or the structure of the $2$-torsion group ...
Beth Malmskog, Rachel Pries, Colin Weir
openalex   +3 more sources

On higher order analogues of de Rham cohomology

open access: greenDifferential Geometry and its Applications, 2000
Slightly revised version of Math. Preprint 19, Scuola Normale Superiore, Pisa (June 1998)
Gabriele Vezzosi, A. M. Vinogradov
openalex   +7 more sources

De Rham cohomology for supervarieties [PDF]

open access: greenEuropean Journal of Mathematics
14 pages; v2: 15 pages, added Prop. 2.3, edited proof of Thm.
Alexander Polishchuk
openalex   +3 more sources

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