{ "id": "1905.03217", "version": "v1", "published": "2019-05-08T17:07:15.000Z", "updated": "2019-05-08T17:07:15.000Z", "title": "The Hodge numbers of O'Grady 10 via Ngô strings", "authors": [ "Mark Andrea A. de Cataldo", "Antonio Rapagnetta", "Giulia Saccà" ], "comment": "62 pages, comments welcome!", "categories": [ "math.AG" ], "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.", "revisions": [ { "version": "v1", "updated": "2019-05-08T17:07:15.000Z" } ], "analyses": { "keywords": [ "hodge numbers", "related modular lagrangian fibrations", "support theorem", "refinement" ], "note": { "typesetting": "TeX", "pages": 62, "language": "en", "license": "arXiv", "status": "editable" } } }