English

Derived Categories of BHK Mirrors

Algebraic Geometry 2019-06-13 v2 High Energy Physics - Theory

Abstract

We prove a derived analogue to the results of Borisov, Clarke, Kelly, and Shoemaker on the birationality of Berglund-Hubsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel and Sheridan, we obtain Homological Mirror Symmetry for Berglund-Hubsch-Krawitz mirror pencils to hypersurfaces in projective space.

Keywords

Cite

@article{arxiv.1602.05876,
  title  = {Derived Categories of BHK Mirrors},
  author = {David Favero and Tyler L. Kelly},
  journal= {arXiv preprint arXiv:1602.05876},
  year   = {2019}
}

Comments

Minor revisions, 30 pages, to appear in Adv. Math. arXiv admin note: substantial text overlap with arXiv:1412.1354