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Gluing derived equivalences together
Grothendieck constructions oplax functors derived equivalences
2012/4/17
The Grothendieck construction of a diagram X of categories can be seen as a process to construct a single category Gr(X) by gluing categories in the diagram together. Here we formulate diagrams of cat...
Derived equivalences in n-angulated categories
derived equivalence n-angulated category n-perforated Yoneda algebra triangulated category
2011/9/9
Abstract: In this paper, we consider $n$-perforated Yoneda algebras for $n$-angulated categories, and show that, under some conditions, $n$-angles induce derived equivalences between the quotient alge...
On tilting complexes providing derived equivalences that send simple-minded objects to simple objects
send simple-minded simple objects
2010/11/22
Given a set of 'simple-minded' objects in a derived category, Rickard constructed a complex, which over a symmetric algebra provides a derived equivalence sending the 'simple-minded' objects to simpl...
Derived equivalences for Cohen-Macaulay Auslander algebras
Cohen-Macaulay finite type Cohen-Macaulay Auslander algebras derived equivalence
2010/12/9
Let A and B be Gorenstein Artin algebras of Cohen-Macaulay finite type. We prove that, if
A and B are derived equivalent, then their Cohen-Macaulay Auslander algebras are also derived
equivalent.