Intersection numbers on Mg, n and automorphisms of stable curves

Kefeng Liu Hao Xu

Algebraic Geometry mathscidoc:1912.43122

arXiv preprint math.AG/0608209, 2006.8
Due to the orbifold singularities, the intersection numbers on the moduli space of curves Mg, n are in general rational numbers rather than integers. We study the properties of the denominators of these intersection numbers and their relationship with the orders of automorphism groups of stable curves. We also present a conjecture about a multinomial type numerical property for a general class of Hodge integrals.
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@inproceedings{kefeng2006intersection,
  title={Intersection numbers on Mg, n and automorphisms of stable curves},
  author={Kefeng Liu, and Hao Xu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111654862537682},
  booktitle={arXiv preprint math.AG/0608209},
  year={2006},
}
Kefeng Liu, and Hao Xu. Intersection numbers on Mg, n and automorphisms of stable curves. 2006. In arXiv preprint math.AG/0608209. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111654862537682.
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