A note on ODEs from mirror symmetry

A Klemm BH Lian SS Roan Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43562

301-323, 1996
We give close formulas for the counting functions of rational curves on complete intesection Calabi-Yau manifolds in terms of special solutions of generalized hypergeometric differential systems. For the one modulus cases we derive a differential equation for the Mirror map, which can be viewed as a generalization of the Schwarzian equation. We also derive a nonlinear seventh order differential equation which directly governs the Prepotential.
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@inproceedings{a1996a,
  title={A note on ODEs from mirror symmetry},
  author={A Klemm, BH Lian, SS Roan, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204049200362126},
  pages={301-323},
  year={1996},
}
A Klemm, BH Lian, SS Roan, and Shing-Tung Yau. A note on ODEs from mirror symmetry. 1996. pp.301-323. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204049200362126.
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