Results 21 to 30 of about 8,292,803 (317)
Uniqueness of dg enhancements for the derived category of a Grothendieck category [PDF]
Journal of the European Mathematical Society (Print), 2015 We prove that the derived category of a Grothendieck abelian category has a unique dg enhancement. Under some additional assumptions, we show that the same result holds true for its subcategory of compact objects.
A. Canonaco, P. Stellari
semanticscholar +1 more source
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
doaj +1 more source
On the derived category of the Hilbert scheme of points on an Enriques surface [PDF]
Selecta Mathematica, 2014 We use semi-orthogonal decompositions to construct autoequivalences of Hilbert schemes of points on Enriques surfaces and of Calabi–Yau varieties which cover them.
Andreas Krug, P. Sosna
semanticscholar +1 more source
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 +1 more source
Pure exact structures and the pure derived category of a scheme [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2014 Let $\mathcal{C}$ be closed symmetric monoidal Grothendieck category. We define the pure derived category with respect to the monoidal structure via a relative injective model category structure on the category C( $\mathcal{C}$ ) of unbounded chain ...
S. Estrada +2 more
semanticscholar +1 more source
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
core +3 more sources
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
doaj +1 more source
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
doaj +1 more source
Medicine Science, 2021 The aim of this study was to test the new Amit Jains diabetic foot ulcer scoring and determine the predictive validity of this simple scoring for amputation in diabetic foot ulcers.
Amit Kumar C Jain +2 more
doaj +1 more source
The dual of Brown representability for some derived categories [PDF]
, 2016 Consider a complete abelian category which has an injective cogenerator. If its derived category is left--complete we show that the dual of this derived category satisfies Brown representability.
Modoi, George Ciprian
core +1 more source