{ "id": "1302.0504", "version": "v1", "published": "2013-02-03T15:33:07.000Z", "updated": "2013-02-03T15:33:07.000Z", "title": "Tilting objects in the stable category of vector bundles on the weighted projective line of type (2,2,2,2;λ)", "authors": [ "Jianmin Chen", "Yanan Lin", "Shiquan Ruan" ], "categories": [ "math.RT" ], "abstract": "We construct a tilting object for the stable category of vector bundles on a weighted projective line X of type (2,2,2,2;\\lambda), consisting of five rank two bundles and one rank three bundle, whose endomorphism algebra is a canonical algebra associated with X of type (2,2,2,2).", "revisions": [ { "version": "v1", "updated": "2013-02-03T15:33:07.000Z" } ], "analyses": { "subjects": [ "14F05", "16G50", "16G70", "18E30", "18G05" ], "keywords": [ "weighted projective line", "vector bundles", "stable category", "tilting object", "endomorphism algebra" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1302.0504C" } } }