Equivalences of families of stacky toric Calabi-Yau hypersurfaces

Charles F. Doran, David Favero, Tyler Kelly

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
JournalProceedings of the American Mathematical Society
Publication statusPublished - 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.23215


  • Calabi-Yau varieties
  • toric varieties
  • K3 surfaces
  • derived equivalences
  • Picard groups
  • mirror symmetry


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