{ "id": "1201.3558", "version": "v3", "published": "2012-01-17T16:53:35.000Z", "updated": "2013-01-05T05:25:59.000Z", "title": "P1-bundles over projective manifolds of Picard number one each of which admit another smooth morphism of relative dimension one", "authors": [ "Kiwamu Watanabe" ], "comment": "13 page, v2; title is changed, main theorem is slightly generalized", "categories": [ "math.AG" ], "abstract": "We give a complete classification of P1-bundles over a projective manifold of Picard number one which admit another smooth morphism of relative dimension one.", "revisions": [ { "version": "v3", "updated": "2013-01-05T05:25:59.000Z" } ], "analyses": { "subjects": [ "14J45", "14J60", "14M17" ], "keywords": [ "picard number", "smooth morphism", "projective manifold", "relative dimension" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1201.3558W" } } }