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De rham-witt complex

WebApr 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 … Weba 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

The big de Rham-Witt complex - Massachusetts …

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... 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 … kernow learning gias https://sanilast.com

Logarithmic de Rham{Witt complexes via the D ecalage …

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 … WebWe construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of . It takes values in a mixed-characteristic analogue of Dieudonné modules, which was previously defined by Fargues as… WebNov 8, 2024 · The following theorem, which is our main computational tool, shows how the operation of saturation “cleans” the pathologies of the de Rham complex of a toroidal monoid. This result is enough to show that the saturated de Rham–Witt complex of schemes with toric singularities in the sense of [ 15] is well-behaved. is it cheaper to buy fast food or groceries

The big de Rham–Witt complex SpringerLink

Category:[1006.3125] The big de Rham-Witt complex - arXiv.org

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De rham-witt complex

A Gentle Approach to Crystalline Cohomology - Videos Institute …

WebSep 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 … WebWe define a de Rham-Witt complex with coefficients in a crystal Eon the crystalline site of X/W n(R). Its hypercohomology computes the crystalline cohomology of E. As an application we show that the first crystalline cohomology of an abelian scheme over a ring Rwhere pis nilpotent has naturally the structure of a 3n-display in the sense of ...

De rham-witt complex

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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. 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

WebThis 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 Madsen and myself relied on the adjoint functor theorem and accordingly was very indirect. WebOct 21, 2010 · The aim of the talk is to describe the overconvergent de Rham-Witt complex. It is a subcomplex of the de Rham-Witt complex and it can be used to compute Monsky-Washnitzer cohomology for affine varieties, and rigid cohomology in general. (All our varieties are over a perfect field of characteristic p.) We will begin by reviewing …

WebApr 10, 2024 · Sanath K. Devalapurkar. This person is not on ResearchGate, or hasn't claimed this research yet. 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...

Web1. Idea of the de Rham-Witt complex (a) It is a complex of sheaves on a scheme over a perfect field of characteristic p, or, more generally, on a scheme over a Z (p)-algebra. …

WebTHE DE RHAM-WITT COMPLEX AND p-ADIC VANISHING CYCLES THOMAS GEISSER AND LARS HESSELHOLT Introduction Let V be a henselian discrete valuation ring with … kernow learning academy trustWebthe 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 … is it cheaper to buy food on amazonWebthe 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. is it cheaper to buy burberry in london