Derived Equivalent Calabi-Yau 3-folds from Cubic 4-folds
Algebraic Geometry
2016-06-09 v3
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.
Keywords
Cite
@article{arxiv.1408.4063,
title = {Derived Equivalent Calabi-Yau 3-folds from Cubic 4-folds},
author = {John Calabrese and Richard P. Thomas},
journal= {arXiv preprint arXiv:1408.4063},
year = {2016}
}
Comments
referee's corrections