{ "id": "math/0702484", "version": "v2", "published": "2007-02-16T14:49:25.000Z", "updated": "2017-12-18T09:42:18.000Z", "title": "Quasi-lines and their degenerations", "authors": [ "Laurent Bonavero", "Andreas Höring" ], "comment": "20 pages, changed metadata", "categories": [ "math.AG" ], "abstract": "In this paper we study the structure of manifolds that contain a quasi-line and give some evidence towards the fact that the irreducible components of degenerations of the quasi-line should determine the Mori cone. We show that the minimality with respect to a quasi-line yields strong restrictions on fibre space structures of the manifold.", "revisions": [ { "version": "v1", "updated": "2007-02-16T14:49:25.000Z", "comment": "20 pages", "journal": null, "doi": null, "authors": [ "Laurent Bonavero", "Andreas Hoering" ] }, { "version": "v2", "updated": "2017-12-18T09:42:18.000Z" } ], "analyses": { "subjects": [ "14E30", "14J10", "14J30", "14J40", "14J45" ], "keywords": [ "degenerations", "quasi-line yields strong restrictions", "fibre space structures", "mori cone", "minimality" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......2484B" } } }