Recollement and tilting complexes
نویسندگان
چکیده
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, ...
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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. ...
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We study the notion of positive and negative complexity of pairs of objects in cluster categories. The first main result shows that the maximal complexity occurring is either one, two or infinite, depending on the representation type of the underlying hereditary algebra. In the second result, we study the bounded derived category of a cluster tilted algebra, and show that the maximal complexity...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2003
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(03)00072-0