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Counting ellitpci curves in K3 surfaces

Conan Leung Chinese Univ of HK Junho Lee Michigan State Univ

mathscidoc:1608.01056

Journal of Alg Geom, 15, 591-601, 2006
We compute the genus g = 1 family GW-invariants of K3 surfaces for non-primitive classes. These calculations verify the G¨ottsche-Yau-Zaslow formula for non-primitive classes with index two. Our approach is to use the genus two topological recursion formula and the symplectic sum formula to establish relationships among various generating functions.
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@inproceedings{conan2006counting,
  title={Counting ellitpci curves in K3 surfaces},
  author={Conan Leung, and Junho Lee},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160831104204632912568},
  booktitle={Journal of Alg Geom},
  volume={15},
  pages={591-601},
  year={2006},
}
Conan Leung, and Junho Lee. Counting ellitpci curves in K3 surfaces. 2006. Vol. 15. In Journal of Alg Geom. pp.591-601. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160831104204632912568.
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