Calcul des satellites et présentations des bimodules à l'aide des carrés exacts
Calcul des satellites et présentations des bimodules à l'aide des carrés exacts (2e partie)
Calculating limits and colimits in pro-categories
We present some constructions of limits and colimits in pro-categories. These are critical tools in several applications. In particular, certain technical arguments concerning strict pro-maps are essential for a theorem about étale homotopy types. We also correct some mistakes in the literature on this topic.
Categorical methods in graded ring theory.
Let G be a group, R a G-graded ring and X a right G-set. We study functors between categories of modules graded by G-sets, continuing the work of [M]. As an application we obtain generalizations of Cohen-Montgomery Duality Theorems by categorical methods. Then we study when some functors introduced in [M] (which generalize some functors ocurring in [D1], [D2] and [NRV]) are separable. Finally we obtain an application to the study of the weak dimension of a group graded ring.
Categorie omologiche
Catégories dérivées et géométrie birationnelle
À l’origine conçue comme un outil technique, la catégorie dérivée des faisceaux cohérents d’une variété algébrique est apparue lors de ces dix dernières années comme un invariant important dans l’étude birationnelle des variétés algébriques. Des problèmes d’invariance birationnelle et de minimisation de la catégorie dérivée sont apparus, inspirés par la conjecture homologique de symétrie miroir de Kontsevich et le programme de Mori de modèles minimaux pour les variétés algébriques. Nous présenterons...
Catégories dérivées et variétés de Deligne-Lusztig
Categories of components and loop-free categories.
Catégories préadditives structurées
Categorification of the virtual braid groups
We extend Rouquier’s categorification of the braid groups by complexes of Soergel bimodules to the virtual braid groups.
Centrally splitting radicals
Chain complexes and stable categories.
Characterization of protomodular varieties of universal algebras.
Chow groups of K3 surfaces and spherical objects
Classification of discrete derived categories
The main aim of the paper is to classify the discrete derived categories of bounded complexes of modules over finite dimensional algebras.
Classification of holomorphic vector bundles on noncommutative two-tori.
Classification problems in K-categories
Closedness properties of internal relations. IV: Expressing additivity of a category via subtractivity.
Closure operators in exact completions.
Cluster categories for algebras of global dimension 2 and quivers with potential
Let be a field and a finite-dimensional -algebra of global dimension . We construct a triangulated category associated to which, if is hereditary, is triangle equivalent to the cluster category of . When is Hom-finite, we prove that it is 2-CY and endowed with a canonical cluster-tilting object. This new class of categories contains some of the stable categories of modules over a preprojective algebra studied by Geiss-Leclerc-Schröer and by Buan-Iyama-Reiten-Scott. Our results also...