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
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