منابع مشابه
Wrong Way Recollement for Schemes
Here X is a topological space equal to the union of the closed subset Z and the open complement U , and D(Z), D(X), and D(U) are suitable derived categories of sheaves. The triangulated functors in a recollement must satisfy various conditions, most importantly that (i, i∗), (i∗, i ), (j!, j ), and (j, j∗) are adjoint pairs. The purpose of this note is to point out that, somewhat surprisingly, ...
متن کاملA New Recollement for Schemes
It is a classical problem to extend sheaves or complexes of sheaves from a subscheme to a larger scheme. For instance, when U is an open subscheme of a scheme X , there has been considerable interest in the question, when does a perfect complex E on U extend to a perfect complex on X? The K-theoretical answer was given in [4, cor. 0.9] by Neeman, who attributes it to Thomason and Trobaugh, cf. ...
متن کاملRecollement for Differential Graded Algebras
A recollement of triangulated categories describes one such category as being “glued together” from two others. This paper gives a precise criterion for the existence of a recollement of the derived category of a Differential Graded Algebra in terms of two other such categories.
متن کاملA recollement of vector bundles
For a weighted projective line, the stable category of its vector bundles modulo line bundles has a natural triangulated structure. We prove that, for any positive integers p, q, r and r′ with r′ r, there is an explicit recollement of the stable category of vector bundles on a weighted projective line of weight type (p, q, r) relative to the ones on weighted projective lines of weight types (p,...
متن کاملTowers of recollement and bases for diagram algebras: planar diagrams and a little beyond
The recollement approach to the representation theory of sequences of algebras is extended to pass basis information directly through the globalisation functor. The method is hence adapted to treat sequences that are not necessarily towers by inclusion, such as symplectic blob algebras (diagram algebra quotients of the type-C̃ Hecke algebras). By carefully reviewing the diagram algebra construct...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2018
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2018.05.032