Equivalences of families of stacky toric Calabi-Yau hypersurfaces

Research output: Contribution to journalArticle

Authors

Colleges, School and Institutes

External organisations

  • University of Alberta

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.

Bibliographic 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

Details

Original languageEnglish
JournalProceedings of the American Mathematical Society
Publication statusPublished - 10 Aug 2018

Keywords

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