De rham-witt complex
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. 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).
De rham-witt complex
Did you know?
WebThe de Rham Witt complex and crystalline cohomology November 20, 2024 If X=kis a smooth projective scheme over a perfect eld k, let us try to nd an explicit quasi … 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 …
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. 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 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 Websaturated de Rham-Witt complex and rigid cohomology, an important question raised in [11, x6]. Section 5 discusses the relation between the saturated de Rham-Witt com …
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.
feffeeWebApr 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 … fefferman whitney extensionWebJun 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 … feff galiciaWebThe 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, ... feffery_utils_componentsWebW. 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 … feffery-antd-chartsWebFeb 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 … feff exafsWebWe 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→∞ ... feffgh