Derived Equivalences for the Flops of Type C2 and ${A}_{4}^{G}$ via Mutation of Semiorthogonal Decomposition
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DOI: 10.1007/s10468-021-10036-y
Abstract: We give a new proof of the derived equivalence of a pair of varieties connected by the flop of type C2 in the list of Kanemitsu (2018), which is originally due to Segal (Bull. Lond.… read more here.
Keywords: via mutation; equivalences flops; derived equivalence; flops type ... See more keywords
Derived Equivalences for a Class of PI Algebras
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DOI: 10.1007/s10468-021-10111-4
Abstract: A description of tilting complexes is given for a class of PI algebras whose prime spectrum is canonically homeomorphic to the prime spectrum of its center. Some Sklyanin algebras are the kind of algebras considered.… read more here.
Keywords: derived equivalences; class; equivalences class; class algebras ... See more keywords
Derived equivalences of functor categories
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DOI: 10.1016/j.jpaa.2018.05.015
Abstract: Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. In the first part of this paper, we provide a version of Rickard's theorem on derived equivalence of rings for $\Mod… read more here.
Keywords: derived equivalences; equivalences functor; functor categories;