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. 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 ...

Logarithmic de Rham{Witt complexes via the D ecalage …

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. WebJun 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 … ctv daryl morris

de Rham complex in nLab

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 … 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, … WebWe 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→∞ ... ctv daily tv mass