SIGMA, 2017, Volume 13, 030, 32 pages
GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada
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; chain integral; orbifold singularity; Hesse pencil.
|This research was supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Research, Innovation and Science.
PDF file (613 kB)
MSC: 14J33; 14Q05; 30F30; 34M35
Received: October 1, 2016; in final form May 14, 2017; Published online May 20, 2017
Jie Zhou, “GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities”, SIGMA, 13 (2017), 030, 32 pp.
Citation in format AMSBIB
\paper GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|