Results 1 to 10 of about 62,810,264 (78)
The big de Rham–Witt complex [PDF]
Acta Mathematica, 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 construction by the author and Madsen relied on the adjoint functor theorem and accordingly was very indirect.
Lars Hesselholt
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Higher Displays Arising from Filtered de Rham–Witt Complexes [PDF]
Progress in Mathematics, 2021 For a smooth projective scheme X over a ring R on which p is nilpotent that meets some general assumptions we prove that the crystalline cohomology is equipped with the structure of a higher display which is a relative version of Fontaine’s strongly divisible lattices.
Andreas Langer
exaly +2 more sources
Witt vector rings and the relative de Rham Witt complex
Journal of Algebra, 2015 Appendix by Umberto Zannier; added the construction of a functorial noncommutative Witt vector ring with Frobenius Verschiebung and Teichm\"uller maps for noncommutative rings extending the commutative ...
Christopher Deninger
exaly +5 more sources
Integral Monsky-Washnitzer cohomology and the overconvergent de Rham-Witt complex [PDF]
Mathematical Research Letters, 2014 In their paper which introduced Monsky-Washnitzer cohomology, Monsky and Washnitzer described conditions under which the definition can be adapted to give integral cohomology groups. It seems to be well-known among experts that their construction always gives well-defined integral cohomology groups, but this fact also does not appear to be explicitly ...
Christopher Davis, David Zureick-Brown
exaly +4 more sources
An analogue of the Milnor conjecture for the de Rham-Witt complex in characteristic 2
Forum of Mathematics, SigmaWe describe the modulo $2$ de Rham-Witt complex of a field of characteristic $2$ , in terms of the powers of the augmentation ideal of the $\mathbb {Z}/2$ -geometric fixed points of real topological restriction homology ${\mathrm ...
Emanuele Dotto
doaj +4 more sources
The de Rham Witt complex, cohomological kernels and p-extensions in characteristic p
Journal of Pure and Applied Algebra, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roberto Aravire +2 more
exaly +4 more sources
A motivic construction of the de Rham-Witt complex
Journal of Pure and Applied AlgebraThe theory of reciprocity sheaves due to Kahn-Saito-Yamazaki is a powerful framework to study invariants of smooth varieties via invariants of pairs $(X,D)$ of a variety $X$ and a divisor $D$. We develop a generalization of this theory where $D$ can be a $\mathbb{Q}$-divisor.
Hiroyasu Miyazaki
exaly +4 more sources
Revisiting the de Rham-Witt complex [PDF]
Astérisque, 2021 The goal of this paper is to offer a new construction of the de Rham-Witt complex of smooth varieties over perfect fields of characteristic $p>0$. We introduce a category of cochain complexes equipped with an endomorphism $F$ of underlying graded abelian groups satisfying $dF = pFd$, whose homological algebra we study in detail.
Bhatt, Bhargav +2 more
openaire +2 more sources
Pseudovaluations on the de Rham--Witt complex
Bulletin de la Société mathématique de France, 2022 16 ...
openaire +3 more sources
The de Rham-Witt complex and 𝑝-adic vanishing cycles [PDF]
Journal of the American Mathematical Society, 2005 We determine the structure of the reduction modulo p p of the absolute de Rham-Witt complex of a smooth scheme over a ...
Geisser, Thomas, Hesselholt, Lars
openaire +2 more sources