English

Remarks on the Chern classes of Calabi-Yau moduli

Differential Geometry 2014-12-24 v1

Abstract

We prove that the first Chern form of the moduli space of polarized Calabi-Yau manifolds, with the Hodge metric or the Weil-Petersson metric, represent the first Chern class of the canonical extensions of the tangent bundle to the compactification of the moduli space with normal crossing divisors.

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Cite

@article{arxiv.1412.7221,
  title  = {Remarks on the Chern classes of Calabi-Yau moduli},
  author = {Kefeng Liu and Changyong Yin},
  journal= {arXiv preprint arXiv:1412.7221},
  year   = {2014}
}

Comments

14 pages, no figures