Results 11 to 20 of about 9,396,792 (310)
Derived categories of nodal algebras
Journal of Algebra, 2004 In this article we classify indecomposable objects of the derived categories of finitely-generated modules over certain infinite-dimensional algebras. The considered class of algebras (which we call nodal algebras) contains such well-known algebras as the complete ring of a double nodal point $\kk[[x,y]]/(xy)$ and the completed path algebra of the ...
Drozd, Y., Burban, I.
openaire +6 more sources
Journal of Algebra, 2010 Let \(\mathcal A\) be an abelian category with enough projective objects. An object \(G\) of \(\mathcal A\) is Gorenstein-projective if there is an exact sequence \(\dots \rightarrow P^1\rightarrow P^0\rightarrow P_0\rightarrow P_1\rightarrow\dots\) of projective objects of \(\mathcal A\) which stays exact under Hom\(_{\mathcal A}(-,P)\) for each ...
Gao, Nan, Zhang, Pu
openaire +3 more sources
Derived categories of flips and cubic hypersurfaces [PDF]
Proceedings of the London Mathematical Society, 2020 A classical result of Bondal–Orlov states that a standard flip in birational geometry gives rise to a fully faithful functor between derived categories of coherent sheaves. We complete their embedding into a semiorthogonal decomposition by describing the
Pieter Belmans +2 more
semanticscholar +1 more source
Derived categories of skew-gentle algebras and orbifolds [PDF]
Glasgow Mathematical Journal, 2020 Skew-gentle algebras are a generalisation of the well-known class of gentle algebras with which they share many common properties. In this work, using non-commutative Gröbner basis theory, we show that these algebras are strong Koszul and that the Koszul
Daniel Labardini-Fragoso +2 more
semanticscholar +1 more source
Mathematics, 2021 We consider the equivalences of derived categories of graded rings over different groups. A Morita type equivalence is established between two graded algebras with different group gradings.
Bo-Ye Zhang, Ji-Wei He
doaj +1 more source
Hopf Differential Graded Galois Extensions
Mathematics, 2022 We introduce the concept of Hopf dg Galois extensions. For a finite dimensional semisimple Hopf algebra H and an H-module dg algebra R, we show that D(R#H)≅D(RH) is equivalent to that R/RH is a Hopf differential graded Galois extension.
Bo-Ye Zhang
doaj +1 more source
Tensor weight structures and t-structures on the derived categories of schemes
Comptes Rendus. Mathématique, 2023 We give a condition which characterises those weight structures on a derived category which come from a Thomason filtration on the underlying scheme. Weight structures satisfying our condition will be called $\otimes ^c$-weight structures. More precisely,
Dubey, Umesh V., Sahoo, Gopinath
doaj +1 more source
Forum of Mathematics, Sigma, 2020 We show that there exists a cubic threefold defined by an invertible polynomial that, when quotiented by the maximal diagonal symmetry group, has a derived category that does not have a full exceptional collection consisting of line bundles.
David Favero +2 more
doaj +1 more source
Derived Categories of (Nested) Hilbert Schemes [PDF]
The Michigan mathematical journal, 2019 In this paper we provide several results regarding the structure of derived categories of (nested) Hilbert schemes of points. We show that the criteria of Krug-Sosna and Addington for the universal ideal sheaf functor to be fully faithful resp.
Pieter Belmans, Andreas Krug
semanticscholar +1 more source
Derived categories of singular surfaces [PDF]
Journal of the European Mathematical Society (Print), 2018 We develop an approach that allows to construct semiorthogonal decompositions of derived categories of surfaces with cyclic quotient singularities whose components are equivalent to derived categories of local finite dimensional algebras.
J. Karmazyn +2 more
semanticscholar +1 more source