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

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. We prove the conjectures in the case of dimension two

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

Mathematics(all)
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

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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. We prove the conjectures in the case of dimension two",

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

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

note = "Funding Information: Acknowledgements. L.B. and C.W. were partially supported by the NSF Grant DMS-1601907. We thank Alicia Dickenstein for a useful conversation. Publisher Copyright: {\textcopyright} 2021 International Press",

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

language = "English (US)",

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AU - Han, Zengrui

AU - Wang, Chengxi

N1 - Funding Information: Acknowledgements. L.B. and C.W. were partially supported by the NSF Grant DMS-1601907. We thank Alicia Dickenstein for a useful conversation. Publisher Copyright: © 2021 International Press

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. We prove the conjectures in the case of dimension two

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KW - Duality

KW - Euler characteristics pairing

KW - Gamma series

KW - Hypergeometric systems

KW - K−theory

KW - Twisted sectors

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JO - Asian Journal of Mathematics

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IS - 1

ER -

ON DUALITY OF CERTAIN GKZ HYPERGEOMETRIC SYSTEMS

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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