G₂-Grassmannians and derived equivalences
classification
🧮 math.AG
keywords
derivedgrassmannianscalabi-yauequivalencefoldsbundlescertainclosely
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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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