Results 11 to 20 of about 82,482 (245)
Localization of triangulated categories and derived categories
Journal of Algebra, 1991 The notion of quotient and localization of abelian categories by dense subcategories (i.e., Serre classes) was introduced by Gabriel, and plays an important role in ring theory [6, 131. The notion of triangulated categories was introduced by Grothendieck
Jun-ichi Miyachi
exaly +4 more sources
Weakly approximable triangulated categories and enhancements: a survey [PDF]
Bolletino Dell Unione Matematica ItalianaThis paper surveys some recent results, concerning the intrinsicness of natural subcategories of weakly approximable triangulated categories. We also review the results about uniqueness of enhancements of triangulated categories, with the aim of showing ...
Alberto Canonaco +2 more
exaly +3 more sources
Recollements for derived categories of enriched functors and triangulated categories of motives [PDF]
Journal of Algebra, 2019 We investigate certain categorical aspects of Voevodsky's triangulated categories of motives. For this, various recollements for Grothendieck categories of enriched functors and their derived categories are established.
G. Garkusha, D. Jones
semanticscholar +7 more sources
Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities [PDF]
, 2005 In this paper we establish an equivalence between the category of graded D-branes of type B in Landau–Ginzburg models with homogeneous superpotential W and the triangulated category of singularities of the fiber of W over zero.
Dmitri Orlov
semanticscholar +4 more sources
Rank functions on triangulated categories [PDF]
Journal für die Reine und Angewandte Mathematik, 2021 We introduce the notion of a rank function on a triangulated category 𝒞{\mathcal{C}} which generalizes the Sylvester rank function in the case when 𝒞=𝖯𝖾𝗋𝖿(A){\mathcal{C}=\mathsf{Perf}(A)} is the perfect derived category of a ring A.
J. Chuang, A. Lazarev
semanticscholar +3 more sources
Triangulated categories of periodic complexes and orbit categories [PDF]
Czechoslovak Mathematical Journal, 2021 We investigate the triangulated hull of orbit categories of the perfect derived category and the bounded derived category of a ring concerning the power of the suspension functor.
Jian Liu
semanticscholar +3 more sources
Journal of Pure and Applied Algebraaccepted to Journal of Pure and Applied Algebra, no changes from previous ...
Peter Bubenik, José A. Vélez-Marulanda
semanticscholar +5 more sources
How to glue derived categories
Bulletin of Mathematical Sciences, 2018 We give an overview of existing enhancement techniques for derived and trianguated categories based on the notion of a stable model category, and show how it can be applied to the problem of gluing triangulated categories.
D. Kaledin
doaj +2 more sources
Descent conditions for generation in derived categories [PDF]
Journal of Pure and Applied Algebra, 2023 This work establishes a condition that determines when strong generation in the bounded derived category of a Noetherian $J\textrm{-}2$ scheme is preserved by the derived pushforward of a proper morphism.
Pat Lank
semanticscholar +1 more source
Homological Bondal-Orlov localization conjecture for rational singularities
Forum of Mathematics, Sigma, 2023 Given a resolution of rational singularities $\pi \colon {\tilde {X}} \to X$ over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor ${\mathbf {R}}\pi _*\colon {\mathbf {D}}^{\mathrm {b}}({\
Mirko Mauri, Evgeny Shinder
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