{ "id": "1105.1253", "version": "v2", "published": "2011-05-06T09:48:48.000Z", "updated": "2012-10-18T08:11:26.000Z", "title": "Asymptotic base loci on singular varieties", "authors": [ "Salvatore Cacciola", "Lorenzo Di Biagio" ], "comment": "Improved exposition. To appear in \"Math. Z.\"", "categories": [ "math.AG" ], "abstract": "We prove that the non-nef locus and the restricted base locus of a pseudoeffective divisor coincide on KLT pairs. We also extend to KLT pairs F. Russo's characterization of nef and abundant divisors by means of asymptotic multiplier ideals.", "revisions": [ { "version": "v2", "updated": "2012-10-18T08:11:26.000Z" } ], "analyses": { "subjects": [ "14C20" ], "keywords": [ "asymptotic base loci", "singular varieties", "klt pairs", "asymptotic multiplier ideals", "restricted base locus" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.1253C" } } }