181 citations
- Université Paris CitéFR33 papers
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- Centre National de la Recherche ScientifiqueFR14 papers
- Laboratoire de Mathématiques Blaise PascalFR6 papers
- Centre de Mathématiques Laurent SchwartzFR4 papers
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6 papers · 1 filter
Motives of Azumaya algebras
Bruno Kahn, Marc Levine
We study the slice filtration for the K-theory of a sheaf of Azumaya algebras A, and for the motive of a Severi-Brauer variety, the latter in the case of a central simple algebra o…
The Popescu-Gabriel theorem for triangulated categories
Marco Porta
The Popescu-Gabriel theorem states that each Grothendieck abelian category is a localization of a module category. In this paper, we prove an analogue where Grothendieck abelian ca…
Stabilization of the Witt group
Max Karoubi
Using an idea due to R.Thomason, we define a "homology theory" on the category of rings which satisfies excision, exactness, homotopy (in the algebraic sense) and periodicity of or…
Une structure de categorie de modeles de Quillen sur la categorie des dg-categories
Goncalo Tabuada
We construct a cofibrantly generated Quillen model structure on the category of small differential graded categories. ----- Nous construisons une structure de categorie de modeles…
Hochschild cohomology and derived Picard groups
Bernhard Keller
We interpret Hochschild cohomology as the Lie algebra of the derived Picard group (in the sense of Rouquier-Zimmermann and Yekutieli) and deduce that it is preserved under derived…
Twisted K-theory of differentiable stacks
Jean-Louis Tu, Ping Xu, Camille Laurent-Gengoux
In this paper, we develop twisted -theory for stacks, where the twisted class is given by an -gerbe over the stack. General properties, including the Mayer-Vietoris propert…