Derived categories of BHK mirrors

David Favero, Tyler Kelly

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
170 Downloads (Pure)

Abstract

We prove a derived analogue to the results of Borisov, Clarke, Kelly, and Shoemaker on the birationality of Berglund-Hübsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel and Sheridan, we obtain Homological Mirror Symmetry for Berglund-Hübsch-Krawitz mirror pencils to hypersurfaces in projective space.
Original languageEnglish
Pages (from-to)943-980
JournalAdvances in Mathematics
Volume352
Early online date26 Jun 2019
DOIs
Publication statusPublished - 20 Aug 2019

Keywords

  • Landau-Ginzburg models
  • mirror sympathy
  • derived catagories
  • Berglund-Hübsch-Krawitz mirrors
  • toric varieties

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