{ "id": "1503.07411", "version": "v1", "published": "2015-03-25T15:07:00.000Z", "updated": "2015-03-25T15:07:00.000Z", "title": "Birational rigidity of del Pezzo fibrations with quotient singularities and its application", "authors": [ "Takuzo Okada" ], "comment": "17 pages", "categories": [ "math.AG" ], "abstract": "In this paper we give a criterion for birational rigidity of del Pezzo fibrations of degree 1 and 2 with only quotient singularities. As an application, we prove birational rigidity of suitable del Pezzo fibrations admitting an action of the Klein simple group.", "revisions": [ { "version": "v1", "updated": "2015-03-25T15:07:00.000Z" } ], "analyses": { "subjects": [ "14E07", "14E08", "14J30" ], "keywords": [ "birational rigidity", "quotient singularities", "application", "klein simple group", "suitable del pezzo fibrations admitting" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }