Results 31 to 40 of about 62,810,264 (78)

On the 2-typical de Rham-Witt complex

open access: yesDocumenta Mathematica, 2008
In this paper we introduce the 2-typical de Rham-Witt complex for arbitrary commutative, unital rings and log-rings. We describe this complex for the rings \Z and \Z_{(2)}
openaire   +2 more sources

Prismatic cohomology and de Rham-Witt forms [PDF]

open access: yes, 2022
For any prism $(A, d)$ we construct a canonical map $W_r(A/d)\to A/d\phi(d)\ldots\phi^{r-1}(d)$. This map is necessary for existence of a canonical base change comparison between prismatic cohomology and de Rham-Witt forms.
Molokov, Semen
core   +1 more source

Cohomology of D-complex manifolds [PDF]

open access: yes, 2012
In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella   +4 more
core   +1 more source

Graded hypoellipticity of BGG sequences. [PDF]

open access: yesAnn Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

The generalized de Rham-Witt complex over a field is a complex of zero-cycles

open access: yesJournal of Algebraic Geometry, 2006
Bloch and Esnault defined additive higher Chow groups with modulus m m on the level of zero cycles over a field
openaire   +2 more sources

A geometric approach to the relative de Rham-Witt complex in the smooth, $\mathbb{Z}$-torsion free case

open access: yes, 2023
Let $X$ be a smooth scheme over a finitely generated flat $\mathbb{Z}$-, $\mathbb{Z}_{(p)}$- or $\mathbb{Z}_p$-algebra $R$. Evaluated at finite truncation sets $S$, the relative de Rham-Witt complex $W_SΩ_{X/R}^{\bullet}$ is a quotient of the de Rham complex $Ω^{\bullet}_{W_S(X)/W_S(R)}$, which can be computed affine locally via explicit, but ...
openaire   +2 more sources

Higher displays arising from filtered de Rham-Witt complexes

open access: yes, 2017
For a smooth projective scheme $X$ over a ring $R$ on which $p$ is nilpotent that meets some general assumptions we prove that the crystalline cohomology is equipped with the structure of a higher display which is a relative version of Fontaine's strongly divisible lattices.
Gregory, Oliver, Langer, Andreas
openaire   +2 more sources

A De Rham-Witt approach to crystalline rational homotopy theory [PDF]

open access: yes, 2004
We construct the crystalline fundamental group of a semi-stable variety over a field of positive characteristic using the log De Rham-Witt complex and Navarro-Aznar's derived Thom-Whitney functor.
Kim, Minhyong   +3 more
core   +1 more source

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