Derived categories of BHK mirrors

David Favero; Tyler Kelly

doi:10.1016/j.aim.2019.06.013

Derived categories of BHK mirrors

David Favero, Tyler Kelly

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

301 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 language	English
Pages (from-to)	943-980
Journal	Advances in Mathematics
Volume	352
Early online date	26 Jun 2019
DOIs	https://doi.org/10.1016/j.aim.2019.06.013
Publication status	Published - 20 Aug 2019

Keywords

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

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10.1016/j.aim.2019.06.013Licence: None: All rights reserved

David_Favero_&_Tyler_Kelly_Derived_categories_of_BHK_mirrors_Advances_in_Mathematics_2019
Checked for eligibility: 17/06/2019
Accepted author manuscript, 469 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

https://www.sciencedirect.com/science/article/pii/S0001870819302968Licence: None: All rights reserved

Cite this

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title = "Derived categories of BHK mirrors",

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

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AU - Kelly, Tyler

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AB - 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.

KW - Berglund-Hübsch-Krawitz mirrors

KW - Landau-Ginzburg models

KW - derived catagories

KW - mirror sympathy

KW - toric varieties

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SP - 943

EP - 980

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Derived categories of BHK mirrors

Abstract

Keywords

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