Derived Equivalent Calabi-Yau 3-folds from Cubic 4-folds

John Calabrese; Richard P. Thomas

Derived Equivalent Calabi-Yau 3-folds from Cubic 4-folds

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arxiv 1408.4063 v3 pith:4554OTQ5 submitted 2014-08-18 math.AG

John Calabrese , Richard P. Thomas This is my paper · ORCID

classification math.AG

keywords cubiccalabi-yauderivedfourfoldspencilassociatedequivalentfolds

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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.

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Non-commutative resolutions and pre-quotients of Calabi-Yau double covers
hep-th 2025-07 conditional novelty 7.0 of 10

A-periods of non-commutative resolutions of Calabi-Yau double covers satisfy the same GKZ system as those of an explicitly constructed smooth complete intersection.

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