Results 11 to 20 of about 51,774 (209)
Localization of triangulated categories and derived categories
Journal of Algebra, 1991 In this paper, the author considers triangulated categories and derived categories from the point of view of localization of abelian categories. The paper is organized as follows. Section 1 is dedicated to preliminaries. Sections 2-3 contain the localization of triangulated categories (there is also studied the relation between localization and stable \
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The co-stability manifold of a triangulated category [PDF]
, 2011 Stability conditions on triangulated categories were introduced by Bridgeland as a 'continuous' generalisation of t-structures. The set of locally-finite stability conditions on a triangulated category is a manifold which has been studied intensively ...
Aihara +2 more
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THE IMAGE OF THE DERIVED CATEGORY IN THE CLUSTER CATEGORY [PDF]
, 2012 . Cluster categories of hereditary algebras have been introduced as orbit categories of their derived categories. Keller has pointed out that for non-hereditary algebras orbit categories need not be triangulated, and he introduced the notion of ...
Claire Amiot, Steffen Oppermann
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Affine space over triangulated categories: A further invitation to Grothendieck derivators
Journal of Pure and Applied Algebra, 2017 6 pages.
Balmer, Paul, Zhang, John
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Pseudo-dualizing complexes and pseudo-derived categories
, 2020 The definition of a pseudo-dualizing complex is obtained from that of a dualizing complex by dropping the injective dimension condition, while retaining the finite generatedness and homothety isomorphism conditions.
Positselski, Leonid
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, 2015 For two DG-categories A and B we define the notion of a spherical Morita quasi-functor A -> B. We construct its associated autoequivalences: the twist T of D(B) and the co-twist F of D(A).
Anno, Rina, Logvinenko, Timothy
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Triangulated Endofunctors of the Derived Category of Coherent Sheaves Which Do Not Admit DG Liftings [PDF]
Arnold Mathematical Journal, 2019 Recently, Rizzardo and Van den Bergh constructed an example of a triangulated functor between the derived categories of coherent sheaves on smooth projective varieties over a field $k$ of characteristic $0$ which is not of the Fourier-Mukai type. The purpose of this note is to show that if $char \, k =p$ then there are very simple examples of such ...
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f-categories and Tate motives [PDF]
, 2008 Using Beilinson's theory of f-categories, we prove that the triangulated category of Tate motives over a field k is equivalent to the bounded derived category of its heart, provided that k is algebraic over the rationals. This answers a question asked by
André +12 more
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Documenta Mathematica, 2002 In an important recent paper citeMay01, May gave an axiomatic description of the properties of triangulated categories with a symmetric tensor product. The main point of the current article is that there are two other results in the literature which can be used to shed considerable light on May's work.
Bernhard Keller, Amnon Neeman
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A category of kernels for equivariant factorizations, II: further implications
, 2014 We leverage the results of the prequel in combination with a theorem of D. Orlov to yield some results in Hodge theory of derived categories of factorizations and derived categories of coherent sheaves on varieties.
Ballard, Matthew +2 more
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