Derived categories of BHK mirrors

David Favero; Tyler L. Kelly

doi:10.1016/j.aim.2019.06.013

Derived categories of BHK mirrors

David Favero, Tyler L. Kelly

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

9 Scopus citations

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 (US)
Pages (from-to)	943-980
Number of pages	38
Journal	Advances in Mathematics
Volume	352
DOIs	https://doi.org/10.1016/j.aim.2019.06.013
State	Published - Aug 20 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.

Keywords

Berglund-Hübsch-Krawitz mirrors
Derived categories
Landau-Ginzburg models
Mirror symmetry
Toric varieties

Publisher link

10.1016/j.aim.2019.06.013

Find It

Find It at U of M Libraries

Cite this

@article{99d782984d674266ac9dbaf91eba9de5,

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.",

keywords = "Berglund-H{\"u}bsch-Krawitz mirrors, Derived categories, Landau-Ginzburg models, Mirror symmetry, Toric varieties",

author = "David Favero and Kelly, {Tyler L.}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = aug,

day = "20",

doi = "10.1016/j.aim.2019.06.013",

language = "English (US)",

volume = "352",

pages = "943--980",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Derived categories of BHK mirrors

AU - Favero, David

AU - Kelly, Tyler L.

PY - 2019/8/20

Y1 - 2019/8/20

N2 - 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.

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 - Derived categories

KW - Landau-Ginzburg models

KW - Mirror symmetry

KW - Toric varieties

UR - http://www.scopus.com/inward/record.url?scp=85067833998&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85067833998&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2019.06.013

DO - 10.1016/j.aim.2019.06.013

M3 - Article

AN - SCOPUS:85067833998

SN - 0001-8708

VL - 352

SP - 943

EP - 980

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Derived categories of BHK mirrors

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this