Results 11 to 20 of about 62,810,264 (78)
Local structure of the overconvergent de Rham-Witt complex [PDF]
, 2023 We give a general description of the structure of the relative de Rham-Witt complex on a polynomial ring, seen as an algebra over its integral part. After giving a control of the overconvergence of Lazard's morphism, we similarly give the structure of the overconvergent complex, locally on a smooth algebraic variety over a perfect field of positive ...
Muñoz--Bertrand, Rubén
core +9 more sources
Overconvergent de Rham-Witt cohomology [PDF]
, 2011 The goal of this work is to construct, for a smooth variety X over a perfect field k of finite characteristic p > 0, an overconvergent de Rham-Witt complex WyX=k as a suitable sub-complex of the de Rham-Witt complex of Deligne-Illusie.
Langer, Andreas +2 more
core +8 more sources
Noncommutative relative de Rham--Witt complex via the norm [PDF]
24 pages ...
Mao, Zhouhang
core +4 more sources
Saturated de Rham-Witt complexes with unit-root coefficients
The saturated de Rham-Witt complex, introduced by Bhatt-Lurie-Mathew, is a variant of the classical de Rham-Witt complex which provides a conceptual simplification of the construction and which is expected to produce better results for non-smooth varieties.
Fernando, Ravi
openaire +3 more sources
Overconvergent de Rham-Witt cohomology [PDF]
, 2009 The goal of this work is to construct, for a smooth variety X over a perfect field k of finite characteristic, an overconvergent de Rham-Witt complex W †ΩX/k as a suitable subcomplex of the de Rham-Witt complex of Deligne-Illusie.
Christopher Davis +6 more
core +3 more sources
Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1451-1506, November 2023., 2023 Abstract We establish a formula for the L‐theory spectrum of real C∗$C^*$‐algebras from which we deduce a presentation of the L‐groups in terms of the topological K‐groups, extending all previously known results of this kind. Along the way, we extend the integral comparison map τ:k→L$\tau \colon \mathrm{k}\rightarrow \mathrm{L}$ obtained in previous ...
Markus Land +2 more
wiley +1 more source
Differential graded Koszul duality: An introductory survey
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1551-1640, August 2023., 2023 Abstract This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011), no. 996, vi+133. The paper is intended to serve as a pedagogical introduction and a summary of the covariant duality between DG‐algebras and curved DG‐coalgebras, as ...
Leonid Positselski
wiley +1 more source
Hodge–Witt decomposition of relative crystalline cohomology
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 4009-4046, December 2022., 2022 Abstract For a smooth and proper scheme over an Artinian local ring with ordinary reduction over the perfect residue field, we prove — under some general assumptions — that the relative de Rham–Witt spectral sequence degenerates and the relative crystalline cohomology, equipped with its display structure arising from the Nygaard complexes, has a Hodge ...
Oliver Gregory, Andreas Langer
wiley +1 more source
Some recent advances in topological Hochschild homology
Bulletin of the London Mathematical Society, Volume 54, Issue 1, Page 1-44, February 2022., 2022 Abstract We give an account of the construction of the Bhatt–Morrow–Scholze motivic filtration on topological cyclic homology and related invariants, focusing on the case of equal characteristic p$p$ and the connections to crystalline and de Rham–Witt theory.
Akhil Mathew
wiley +1 more source
On the homotopy type of L‐spectra of the integers
Journal of Topology, Volume 14, Issue 1, Page 183-214, March 2021., 2021 Abstract We show that quadratic and symmetric L‐theory of the integers are related by Anderson duality and that both spectra split integrally into the L‐theory of the real numbers and a generalised Eilenberg–Mac Lane spectrum. As a consequence, we obtain a corresponding splitting of the space G/Top. Finally, we prove analogous results for the genuine L‐
Fabian Hebestreit +2 more
wiley +1 more source