De rham-witt complex
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... 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 ...
De rham-witt complex
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WebA agrees with the big de Rham-Witt complex introduced by the author and Madsen [12]. We also note that if f : R !A is a map of Z (p)-algebras and S = f1;p;:::;pn 1g, then the relative p-typical de Rham-Witt complex W nW A=R of Langer-Zink [18] agrees with the quotient of W SW by the differential graded ideal generated by the image of W SW1 R!W ... 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 …
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 … 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.
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 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, ...
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 …
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 … shwapno membership card benefitsWebWe 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→∞ ... shwapno head office contact numberthe party don\u0027t stop nowWebde 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 the party don\u0027t start til i walk in gifWebApr 10, 2024 · Sanath K. Devalapurkar. This person is not on ResearchGate, or hasn't claimed this research yet. shwapno offerWebThe 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 … the party don\\u0027t start til i walk in gifWebTHE DE RHAM-WITT COMPLEX AND p-ADIC VANISHING CYCLES THOMAS GEISSER AND LARS HESSELHOLT Introduction Let V be a henselian discrete valuation ring with … the party don\\u0027t start til i walk in