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- W2293408497 abstract "We unify the various mirrors in the Batyrev-Borisov and Berglund-Hubsch constructions by proving equivalences of derived categories. In particular, we prove a conjecture of Batyrev and Nill and a derived analogue to the results of Borisov, Clarke, Kelly, and Shoemaker on the birationality of Berglund-Hubsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel and Sheridan, we obtain Homological Mirror Symmetry for Berglund-Hubsch-Krawitz mirror pencils to hypersurfaces in projective space. Our results extend to Fano hypersurfaces in projective space where they provide a categorical explanation of mirrors to rigid Calabi-Yaus appearing as Fano Calabi-Yau manifolds." @default.
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- W2293408497 date "2014-12-03" @default.
- W2293408497 modified "2023-09-27" @default.
- W2293408497 title "Toric Mirror Constructions and Derived Equivalence" @default.
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