Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces
classification
🧮 math.AG
keywords
toricderivedfamilieshypersurfaceslinearstackyanti-canonicalapplications
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Given the same anti-canonical linear system on two distinct toric varieties, we provide a derived equivalence between partial crepant resolutions of the corresponding stacky hypersurfaces. The applications include: a derived unification of toric mirror constructions, calculations of Picard lattices for linear systems of quartic surfaces, and a birational reduction of Reid's list to 81 families.
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