ON DUALITY OF CERTAIN GKZ HYPERGEOMETRIC SYSTEMS

Lev Borisov; Zengrui Han; Chengxi Wang

doi:10.4310/AJM.2021.v25.n1.a5

ON DUALITY OF CERTAIN GKZ HYPERGEOMETRIC SYSTEMS

Lev Borisov, Zengrui Han, Chengxi Wang

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

1 Scopus citations

Abstract

We study a pair of conjectures on better behaved GKZ hypergeometric systems of PDEs inspired by Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities.

Original language	English (US)
Pages (from-to)	65-88
Number of pages	24
Journal	Asian Journal of Mathematics
Volume	25
Issue number	1
DOIs	https://doi.org/10.4310/AJM.2021.v25.n1.a5
State	Published - 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Duality
Euler characteristics pairing
Gamma series
Hypergeometric systems
K−theory
Twisted sectors

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10.4310/AJM.2021.v25.n1.a5

Cite this

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title = "ON DUALITY OF CERTAIN GKZ HYPERGEOMETRIC SYSTEMS",

abstract = "We study a pair of conjectures on better behaved GKZ hypergeometric systems of PDEs inspired by Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities.",

keywords = "Duality, Euler characteristics pairing, Gamma series, Hypergeometric systems, K−theory, Twisted sectors",

author = "Lev Borisov and Zengrui Han and Chengxi Wang",

note = "Publisher Copyright: {\textcopyright} 2021 International Press",

year = "2021",

doi = "10.4310/AJM.2021.v25.n1.a5",

language = "English (US)",

volume = "25",

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AU - Borisov, Lev

AU - Han, Zengrui

AU - Wang, Chengxi

PY - 2021

Y1 - 2021

N2 - We study a pair of conjectures on better behaved GKZ hypergeometric systems of PDEs inspired by Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities.

AB - We study a pair of conjectures on better behaved GKZ hypergeometric systems of PDEs inspired by Homological mirror symmetry for crepant resolutions of Gorenstein toric singularities.

KW - Duality

KW - Euler characteristics pairing

KW - Gamma series

KW - Hypergeometric systems

KW - K−theory

KW - Twisted sectors

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M3 - Article

AN - SCOPUS:85125420116

SN - 1093-6106

VL - 25

SP - 65

EP - 88

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

IS - 1

ER -

ON DUALITY OF CERTAIN GKZ HYPERGEOMETRIC SYSTEMS

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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