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GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
 
Creator Zhou, J.
 
Description The GKZ system for the Hesse pencil of elliptic curves has more solutions than the period integrals. In this work we give different realizations and interpretations of the extra solution, in terms of oscillating integral, Eichler integral, chain integral on the elliptic curve, limit of a period of a certain compact Calabi-Yau threefold geometry, etc. We also highlight the role played by the orbifold singularity on the moduli space and its relation to the GKZ system.
 
Date 2019-02-18T16:26:31Z
2019-02-18T16:26:31Z
2017
 
Type Article
 
Identifier GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities / J. Zhou // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 46 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 14J33; 14Q05; 30F30; 34M35
DOI:10.3842/SIGMA.2017.030
http://dspace.nbuv.gov.ua/handle/123456789/148596
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України