{ "id": "1306.0746", "version": "v2", "published": "2013-06-04T12:34:08.000Z", "updated": "2013-06-05T10:28:44.000Z", "title": "Schwarzenberger bundles on smooth projective varieties", "authors": [ "Enrique Arrondo", "Simone Marchesi", "Helena Soares" ], "comment": "19 pages", "doi": "10.1112/jlms/jdq056", "categories": [ "math.AG" ], "abstract": "We define Schwarzenberger bundles on any smooth projective variety X. We introduce the notions of jumping pairs of a Steiner bundle E on X and determine a bound for the dimension of its jumping locus. We completely classify Steiner bundles whose set of jumping pairs have maximal dimension, proving that they are all Schwarzenberger bundles.", "revisions": [ { "version": "v2", "updated": "2013-06-05T10:28:44.000Z" } ], "analyses": { "keywords": [ "smooth projective variety", "jumping pairs", "define schwarzenberger bundles", "classify steiner bundles", "maximal dimension" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1306.0746A" } } }