Derived equivalent Calabi-Yau threefolds from cubic fourfolds

DOI10.1007/S00208-015-1260-6zbMATH Open1342.14036arXiv1408.4063OpenAlexW3104150500MaRDI QIDQ289830

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Publication date: 31 May 2016

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Abstract: We describe pretty examples of derived equivalences and autoequivalences of Calabi-Yau threefolds arising from pencils of cubic fourfolds. The cubic fourfolds are chosen to be special, so they have an associated K3 surface. Thus a pencil gives rise to two different Calabi-Yau threefolds: the associated pencil of K3 surfaces, and the baselocus of the original pencil - the intersection of two cubic fourfolds. They both have crepant resolutions which are derived equivalent.

Full work available at URL: https://arxiv.org/abs/1408.4063

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