Results 1 to 10 of about 9,396,792 (310)
On Pure Derived Categories [PDF]
Journal of Algebra, 2016 We investigate the properties of pure derived categories of module categories, and show that pure derived categories share many nice properties of classical derived categories.
Yuefei Zheng, Zhaoyong Huang
semanticscholar +5 more sources
, 2016 This is the fourth (and last) prepublication version of a book on derived categories, that will be published by Cambridge University Press. The purpose of the book is to provide solid foundations for the theory of derived categories, and to present ...
Amnon Yekutieli
semanticscholar +6 more sources
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
openaire +4 more sources
Silting and cosilting classes in derived categories [PDF]
, 2017 An important result in tilting theory states that a class of modules over a ring is a tilting class if and only if it is the Ext-orthogonal class to a set of compact modules of bounded projective dimension.
F. Marks, Jorge Vit'oria
semanticscholar +3 more sources
Singularity categories of derived categories of hereditary algebras are derived categories [PDF]
Journal of Pure and Applied Algebra, 2017 We show that for the path algebra A of an acyclic quiver, the singularity category of the derived category D b ( mod A ) is triangle equivalent to the derived category of the functor category of mod _ A , that is, D sg ( D b ( mod A ) ) ≃ D b ( mod ( mod
Y. Kimura
semanticscholar +4 more sources
Derived categories of representations of small categories over commutative noetherian rings [PDF]
, 2015 We study the derived categories of small categories over commutative noetherian rings. Our main result is a parametrization of the localizing subcategories in terms of the spectrum of the ring and the localizing subcategories over residue fields.
Benjamin Antieau, Greg Stevenson
semanticscholar +3 more sources
Derived categories of hearts on Kuznetsov components [PDF]
Journal of the London Mathematical Society, 2022 We prove a general criterion that guarantees that an admissible subcategory K$\mathcal {K}$ of the derived category of an abelian category is equivalent to the bounded derived category of the heart of a bounded t‐structure. As a consequence, we show that
Chunyi Li, L. Pertusi, Xiaolei Zhao
semanticscholar +1 more source
Derived categories of NDG categories [PDF]
Journal of Homotopy and Related Structures, 2021 We study $N$-differential graded ($NDG$) categories and their the derived categories. First, we introduce $N$-differential modules over an $NDG$ category $\mathcal{A}$. Then we show that the category $\mathsf{C}_{Ndg}(\mathcal{A})$ of $N$-differential $\mathcal{A}$-modules is a Frobenius category, and that its homotopy category $\mathsf{K}_{Ndg ...
Miyachi, Jun-ichi, Nagase, Hiroshi
openaire +3 more sources
Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure [PDF]
Compositio Mathematica, 2021 We introduce a linearised form of the square root of the Todd class inside the Verbitsky component of a hyper-Kähler manifold using the extended Mukai lattice.
T. Beckmann
semanticscholar +1 more source