English

The Euler number of hyper-K\"ahler manifolds of OG10 type

Algebraic Geometry 2019-11-06 v2

Abstract

Using the Laza-Sacc\`a-Voisin construction, we give a simple proof for the fact that the Euler characteristic of a hyper-K\"ahler manifold of OG10 type is 176,904, a result previously established by Mozgovoy.

Keywords

Cite

@article{arxiv.1902.00781,
  title  = {The Euler number of hyper-K\"ahler manifolds of OG10 type},
  author = {Klaus Hulek and Radu Laza and Giulia Saccà},
  journal= {arXiv preprint arXiv:1902.00781},
  year   = {2019}
}

Comments

10 pages; To appear in the Proceedings of the ICM 2018 Satellite conference "Moduli Spaces in Algebraic Geometry and Applications", Campinas