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arXiv · 1612.08443

$G_2$-Grassmannians and derived equivalences

Kazushi Ueda
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Abstract

We prove the derived equivalence of a pair of non-compact Calabi-Yau 7-folds, which are the total spaces of certain rank 2 bundles on $G_2$-Grassmannians. The proof follows that of the derived equivalence of Calabi-Yau 3-folds in $G_2$-Grassmannians by Kuznetsov closely.

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Kazushi Ueda. 2016-12-26. $G_2$-Grassmannians and derived equivalences. https://arxiv.org/abs/1612.08443

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