{ "id": "2003.05890", "version": "v1", "published": "2020-03-12T16:49:19.000Z", "updated": "2020-03-12T16:49:19.000Z", "title": "On the irreducibility of some quiver varieties", "authors": [ "C. Bartocci", "U. Bruzzo", "V. Lanza", "C. L. S. Rava" ], "comment": "13 pages. Will be submitted to the SIGMA volume in honor of G. Landi's 60th birthday", "categories": [ "math.AG", "math.RT" ], "abstract": "We prove that certain quiver varieties are irreducible and therefore are isomorphic to Hilbert schemes of points of the total spaces of the bundles $\\mathcal O_{\\mathbb P^1}(-n)$ for $n \\ge 1$", "revisions": [ { "version": "v1", "updated": "2020-03-12T16:49:19.000Z" } ], "analyses": { "subjects": [ "14D20", "14D21", "14J60", "16G20" ], "keywords": [ "quiver varieties", "irreducibility", "total spaces" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }