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. … WebMay 27, 2024 · This complex is the natural generalization to -algebras of the de Rham–Witt complex for -algebras of Bloch–Deligne–Illusie [L. Illusie, Ann. Sci. École Norm. Sup. 12 (4) (1979) 501–661 ...

Some refinements of the Deligne–Illusie theorem - Semantic Scholar

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 … 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. birthday balloons animation

On the de Rham-Witt complex over perfectoid rings

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, … 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, ... 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 ... daniel tiger\u0027s neighborhood it\u0027s time to go