Brauer graph algebras are closed under derived equivalence
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DOI: 10.1007/s00209-021-02937-x
Abstract: In this paper the class of Brauer graph algebras is proved to be closed under derived equivalence. For that we use the rank of the maximal torus of the identity component $$Out^0(A)$$ O u t… read more here.
Keywords: derived equivalence; graph algebras; brauer graph; closed derived ... See more keywords
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
A Derived Equivalence of the Libgober–Teitelbaum and the Batyrev–Borisov Mirror Constructions
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DOI: 10.1093/imrn/rnad081
Abstract: In this paper, we study a particular mirror construction to the complete intersection of two cubics in $\operatorname{{\mathbb{P}}}^{5}$, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly,… read more here.
Keywords: batyrev borisov; borisov mirror; mirror; libgober teitelbaum ... See more keywords