Results 21 to 30 of about 2,236,547 (280)
Singularity categories of derived categories of hereditary algebras are derived categories [PDF]
Journal of Pure and Applied Algebra, 2020 We show that for the path algebra $A$ of an acyclic quiver, the singularity category of the derived category $\mathsf{D}^{\rm b}(\mathsf{mod}\,A)$ is triangle equivalent to the derived category of the functor category of $\underline{\mathsf{mod}}\,A$, that is, $\mathsf{D}_{\rm sg}(\mathsf{D}^{\rm b}(\mathsf{mod}\,A))\simeq \mathsf{D}^{\rm b}(\mathsf ...
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Comparison theorems for Kan, faintly universal and strongly universal derived functors [PDF]
Surveys in Mathematics and its Applications, 2022 We distinguish between faint, weak, strong and strict localizations of categories at morphism families and show that this framework captures the different types of derived functors that are considered in the literature.
Alisa Govzmann +2 more
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Reflexivity in derived categories [PDF]
Forum Mathematicum, 2010 An adjoint pair of contravariant functors between abelian categories can be extended to the adjoint pair of their derived functors in the associated derived categories. We describe the reflexive complexes and interpret the achieved results in terms of objects of the initial abelian categories.
Mantese F, TONOLO, ALBERTO
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Derived category of fibrations [PDF]
Mathematical Research Letters, 2011 The results in this paper generalize earlier results on toric fibrations contained in arXiv:0908.0846.
Costa, L. +2 more
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Perverse sheaves on Riemann surfaces as Milnor sheaves
Forum of Mathematics, Sigma, 2023 Constructible sheaves of abelian groups on a stratified space can be equivalently described in terms of representations of the exit-path category. In this work, we provide a similar presentation of the abelian category of perverse sheaves on a stratified
Tobias Dyckerhoff +2 more
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Universal Properties in Quantum Theory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We argue that notions in quantum theory should have universal properties in the sense of category theory. We consider the completely positive trace preserving (CPTP) maps, the basic notion of quantum channel.
Mathieu Huot, Sam Staton
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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
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Dualities and derived equivalences for category O [PDF]
, 2016 We determine the Ringel duals for all blocks in the parabolic versions of the BGG category O associated to a reductive finite dimensional Lie algebra. In particular we find that, contrary to the original category O and the specific previously known cases
Coulembier, Kevin, Mazorchuk, Volodymyr
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Tilting preserves finite global dimension
Comptes Rendus. Mathématique, 2020 Given a tilting object of the derived category of an abelian category of finite global dimension, we give (under suitable finiteness conditions) a bound for the global dimension of its endomorphism ring.
Keller, Bernhard, Krause, Henning
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EFSA Journal, 2021 The European Commission requested EFSA to assess if different thermal processes achieve a 5 log10 reduction in Enterococcus faecalis or Salmonella Senftenberg (775W) and (if relevant) a 3 log10 reduction in thermoresistant viruses (e.g.
EFSA Panel on Biological Hazards (BIOHAZ) +22 more
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