De rham-witt complex

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August undefined, 2024

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 http://www-math.mit.edu/~larsh/papers/s04/drw.pdf

The big de Rham-Witt complex - ResearchGate

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. WebTitle: Guide to Getting Around the Wilmington Campus Author: Delaware Technical Community College Created Date: 8/5/2024 10:13:57 AM incoterms dda

A new approach to de Rham–Witt complexes, after Bhatt, Lurie, …

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, ... WebW. F. DeWitt Hotel is a historic hotel located at Durham in Greene County, New York.It was built about 1865, and is a 2 1/2-story, seven bay by three bay, frame building in the … 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... inclination\u0027s y9

$CHRISTIAN LIEDTKE arXiv:1403.2538v4 [math.AG] 8 Feb 2024$

1. Idea of the de Rham-Witt complex - University of …

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 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 inclination\u0027s ydWebWe already mentioned that Illusie constructed a complex (WmΩ j X/k,d), the de Rham–Witt complex, and that it coincides with the de Rham complex if m= 1. This complex gives rise to spectral sequences for all m≥1 Ei,j 1:= H j(X,W mΩ i X/k) ⇒H i+j cris (X/Wm(k)). For m= 1, this is the Fro¨licher spectral sequence. In the limit m→∞ ... inclination\u0027s yc

"WebOverconvergent de Rham–Witt cohomology was studied in [1]. It was shown there that, rationally, it agreed with Monsky–Washnitzer cohomology. Conditions were given on the nonsingular aﬃne variety X under which the Monsky-Washnitzer cohomology groups were isomorphic to the integral overconvergent de Rham-Witt cohomology groups [1, … " - De rham-witt complex

De rham-witt complex

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 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 …

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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 … 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

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 ... 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.

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 … WebThe purpose of this paper is twofold. Firstly, it gives a thorough treatment of the generalization to Z (p)-algebras (with p odd) of the de Rham-Witt complex of Bloch …

WebFeb 28, 2024 · Later work of Bloch, Deligne, and Illusie showed that crystalline cohomology could be computed using an explicit chain complex, called the de Rham-Witt complex. In this talk, I'll give an overview of some of these ideas and sketch an alternative construction of the de Rham-Witt complex (joint work with Bhargav Bhatt and Akhil Mathew).

incoterms dap named placeWebFeb 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 … incoterms ddbWebDirections / Campus Map. Wilmington Campus Map (PDF) George Campus. Delaware Technical Community College. 300 N. Orange St. Wilmington, Delaware 19801. … inclination\u0027s yaWebWe 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 ... incoterms dauWebJun 16, 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 … incoterms d termsWebJun 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 … inclination\u0027s ybWebJun 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 … incoterms ddc