G₂-Grassmannians and derived equivalences

2016/12/26 by Kazushi Ueda, Ueda, Kazushi
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1612.08443

openalex publication_date 2016/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 G₂-Grassmannians. The proof follows that of the derived equivalence of Calabi-Yau 3-folds in G₂-Grassmannians by Kuznetsov closely.

Citations

• Phases Of N=2 Theories In 1+1 Dimensions With Boundary

Related

• Derived equivalences for the flops of type C₂ and A^G₄ via mutation of semiorthogonal decomposition
• The Pfaffian-Grassmannian derived equivalence
• Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians
• Derived equivalences for cotangent bundles of Grassmannians via\n categorical sl(2) actions
• Derived equivalence for the simple flop of type D₅