The Hodge numbers of O'Grady 10 via Ngô strings
arXiv:1905.03217
Abstract
We determine the Hodge numbers of the hyper-Kähler manifold known as O'Grady 10 by studying some related modular Lagrangian fibrations by means of a refinement of the Ngô Support Theorem.
Revised and final version to appear in Jour. Math. Pur. et Appl