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

Jie Zhou Perimeter Institute

Classical Analysis and ODEs mathscidoc:1608.05001

2016.6
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.
GKZ system, Hesse pencil, orbifold singularity
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@inproceedings{jie2016gkz,
  title={GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities},
  author={Jie Zhou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160821204516816369366},
  year={2016},
}
Jie Zhou. GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities. 2016. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160821204516816369366.
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