De rham-witt complex

Author: yqee

August undefined, 2024

WebWe extend the results of Deligne and Illusie on liftings modulo $p^2$ and decompositions of the de Rham complex in several ways. We show that for a smooth scheme $X ... WebThe main result of § 4 is to prove the restricted Witt-complex structure on the additive higher Chow groups of regular semi-local algebras over arbitrary fields. The de Rham–Witt–Chow homomorphism $\tau ^ {R}_ {n,m}$ is constructed in § 5. We prove the key result on traceability in this section.

On the de Rham-Witt complex in mixed characteristic

WebThe De Rham-Witt complex is a powerful instrument for studying the crys-talline cohomology of a smooth projective variety over a perfect eld of positive characteristic. In [9] the De Rham-Witt complex is constructed for schemes on which some prime number pis zero. Here in section 2 we construct on every WebJun 16, 2010 · The big de Rham-Witt complex. This paper gives a new and direct construction of the multi-prime big de Rham-Witt complex which is defined for every commutative and unital ring; the original construction by the author and Madsen relied on the adjoint functor theorem and accordingly was very indirect. (The construction given … optics ptz

The saturated de Rham-Witt complex for schemes with …

Webthe de Rham-Witt complex plays the fundamental role, rather than V, which simpli es the relevant identities. Finally, we mention a more highbrow motivation of W ∗ X, which we … WebOct 20, 2014 · Cuntz and Deninger defined the relative de Rham-Witt complex in arbitrary truncated sets by a different approach so that the big and the p-isotypical theories are covered ( [CD14]). It would be an ... WebJun 15, 2010 · This paper gives a new and direct construction of the multi-prime big de Rham-Witt complex which is defined for every commutative and unital ring; the original … portland maine cathedral

De rham-witt complex

WebThe de Rham-Witt complexes constructed in this paper agree with those of [30] in the smooth case, but di er in general. For this reason, we distinguish the two constructions … Webthe saturated log de Rham{Witt complex of R(if exists). Our rst main result states that Theorem 2 W! R=k exists and glues to a sheaf W! X=k on the etale site X et of X. Our version of the log de Rham{Witt complexes agrees with the existing ones in [HK94], [LZ04] and [Mat17] under the additional smoothness assumptions.

Did you know?

Webde Rham-Witt comparison theorem (Theorem 6.8) and also Theorem 6.10, a version of the Deligne-Illusie theorem for the saturated de Rham-Witt complex, in a logarithmic context. In the last section we discuss the Nygaard ltration. We begin with a gen-eral de nition, based on the \abstract " construction of Mazur [17], which is WebJun 15, 2010 · This paper gives a new and direct construction of the multi-prime big de Rham-Witt complex which is defined for every commutative and unital ring; the original construction by the author and...

WebApr 28, 2004 · The de Rham-Witt complex and 𝑝-adic vanishing cycles. Journal of the American Mathematical Society, Vol. 19, Issue. 1, p. 1. CrossRef; Google Scholar; Rülling, Kay 2006. The generalized de Rham-Witt complex over a field is a complex of zero-cycles. Journal of Algebraic Geometry, Vol. 16, Issue. 1, p. 109. WebThe de Rham–Witt complex does not appear in this section. The reader is advised to skip this entire section and return to it as needed. We begin with a few standard properties related to the cotangent complex. We use the cotangent complex extensively in Section 3, ...

Webp-typical de Rham-Witt complex is obtained by restricting to the subsets Sthat consist of powers of a single prime number p. Beyond the deﬁnition of the big de Rham-Witt complex, the topics treated are as follows. We show, in Prop. 3.6, that for a Z(p)-algebra A, the big de Rham-Witt groups decompose as products of p-typical de Rham-Witt groups. WebThe big de Rham-Witt complex Lars Hesselholt Introduction The big de Rham-Witt complex was introduced by the author and Madsen in [12] with the purpose of giving an …

WebMar 8, 2024 · On the de Rham-Witt complex over perfectoid rings Authors: Christopher Davis Irakli Patchkoria University of Aberdeen Abstract Fix an odd prime $p$. The results in this paper are modeled after...

WebThe de Rham–Witt complex of a polynomial algebra 255 2.1 A basis of the de Rham complex 255 2.2 The basic Witt diﬀerentials 259 2.3 The main theorem 263 2.4 The phantom components 268 2.5 The independence of basic Witt diﬀerentials 273 2.6 The ﬁltration 275 2.7 The Cartier–Raynaud ring 277 3. The comparison to crystalline … optics ptz downloadWebApr 7, 2024 · The de Rham complex (named after Georges de Rham) Ω • (X) \Omega^\bullet(X) of a space X X is the cochain complex that in degree n n has the … portland maine cbs tvWebFeb 28, 2015 · This paper gives a new and direct construction of the multi-prime big de Rham–Witt complex, which is defined for every commutative and unital ring; the original … optics pubWeba complex resembling the de Rham{Witt complex. We show (Theorem 3.11) that up to (q1=p1 1)-torsion, the p-adic completion of this complex depends only on the p-adic completion of A[ p1] (where n denotes a primitive nth root of unity), with no requirement for a lift of Frobenius or a choice of co-ordinates. The main idea is to show optics ps插件WebDeWitt Community Complex is a 501(c)(3) non-profit corporation on a mission to preserve and adaptively reuse the historic DeWitt Theater for community uses at the DeWitt General Hospital National Register … portland maine cemeteryWebSep 30, 2024 · For a smooth and proper scheme over an Artinian local ring with ordinary reduction over the perfect residue field, we prove — under some general assumptions — that the relative de Rham–Witt spectral sequence degenerates and the relative crystalline cohomology, equipped with its display structure arising from the Nygaard complexes, has … portland maine ch 8 weatherWebApr 10, 2024 · Sanath K. Devalapurkar. This person is not on ResearchGate, or hasn't claimed this research yet. optics puns