English

The Hodge numbers of O'Grady 10 via Ng\^o strings

Algebraic Geometry 2021-10-12 v2

Abstract

We determine the Hodge numbers of the hyper-K\"ahler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of a refinement of the Ng\^o Support Theorem.

Keywords

Cite

@article{arxiv.1905.03217,
  title  = {The Hodge numbers of O'Grady 10 via Ng\^o strings},
  author = {Mark Andrea A. de Cataldo and Antonio Rapagnetta and Giulia Saccà},
  journal= {arXiv preprint arXiv:1905.03217},
  year   = {2021}
}

Comments

Revised and final version to appear in Jour. Math. Pur. et Appl