{ "id": "1109.4886", "version": "v2", "published": "2011-09-22T16:45:45.000Z", "updated": "2012-05-10T03:52:16.000Z", "title": "The Brauer group of desingularization of moduli spaces of vector bundles over a curve", "authors": [ "Indranil Biswas", "Amit Hogadi", "Yogish I. Holla" ], "comment": "Final version", "categories": [ "math.AG" ], "abstract": "Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M_C(r,L) be the coarse moduli space of semistable vector bundles E over C of rank r and determinant L. We show that the Brauer group of any desingularization of M_C(r, L)$ is trivial.", "revisions": [ { "version": "v2", "updated": "2012-05-10T03:52:16.000Z" } ], "analyses": { "subjects": [ "14H60", "14F22" ], "keywords": [ "brauer group", "desingularization", "coarse moduli space", "fixed line bundle", "characteristic zero" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1109.4886B" } } }