Applications of homological mirror symmetry to hypergeometric systems: Duality conjectures

Lev A. Borisov; R. Paul Horja

doi:10.1016/j.aim.2014.11.020

Applications of homological mirror symmetry to hypergeometric systems: Duality conjectures

Lev A. Borisov, R. Paul Horja

School of Arts and Sciences, Mathematics

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

4 Scopus citations

Abstract

Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities leads to a pair of conjectures on certain hypergeometric systems of PDEs. We explain these conjectures and verify them in some cases.

Original language	English (US)
Pages (from-to)	153-187
Number of pages	35
Journal	Advances in Mathematics
Volume	271
DOIs	https://doi.org/10.1016/j.aim.2014.11.020
State	Published - Feb 5 2015

All Science Journal Classification (ASJC) codes

Mathematics(all)

Keywords

Mirror symmetry
Toric geometry

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10.1016/j.aim.2014.11.020

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title = "Applications of homological mirror symmetry to hypergeometric systems: Duality conjectures",

abstract = "Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities leads to a pair of conjectures on certain hypergeometric systems of PDEs. We explain these conjectures and verify them in some cases.",

keywords = "Mirror symmetry, Toric geometry",

author = "Borisov, {Lev A.} and Horja, {R. Paul}",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

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day = "5",

doi = "10.1016/j.aim.2014.11.020",

language = "English (US)",

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T1 - Applications of homological mirror symmetry to hypergeometric systems

T2 - Duality conjectures

AU - Borisov, Lev A.

AU - Horja, R. Paul

PY - 2015/2/5

Y1 - 2015/2/5

N2 - Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities leads to a pair of conjectures on certain hypergeometric systems of PDEs. We explain these conjectures and verify them in some cases.

AB - Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities leads to a pair of conjectures on certain hypergeometric systems of PDEs. We explain these conjectures and verify them in some cases.

KW - Mirror symmetry

KW - Toric geometry

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M3 - Article

AN - SCOPUS:84916613481

SN - 0001-8708

VL - 271

SP - 153

EP - 187

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Applications of homological mirror symmetry to hypergeometric systems: Duality conjectures

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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