Abstract
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 quartics in P3, and a birational reduction of Reid’s list to 81 families.
Original language | English |
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Journal | Proceedings of the American Mathematical Society |
DOIs | |
Publication status | Published - 10 Aug 2018 |
Bibliographical note
Doran, C. F., Favero, D., & Kelly, T. L. Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces. Proceedings of the American Mathematical Society https://doi.org/10.17863/CAM.23215Keywords
- Calabi-Yau varieties
- toric varieties
- K3 surfaces
- derived equivalences
- Picard groups
- mirror symmetry