Hesse积分、链积分和轨道奇点的GKZ超几何级数
GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
摘要：
椭圆曲线的Hesse束的GKZ系统比周期积分有更多的解。在这项工作中，我们给出了不同的实现和解释的额外的解决方案，在振荡积分，Eichler积分，链积分的椭圆曲线，一个特定的紧凑的Calabi-Yau三重几何的周期极限等，我们还强调了所起的作用的轨道奇异性的模空间及其与GKZ系统的关系。
英文摘要：
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.
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