{"created":"2022-01-28T01:11:49.177725+00:00","id":2005431,"links":{},"metadata":{"_buckets":{"deposit":"ad82582a-c146-4f18-bf2a-83ada911cfbb"},"_deposit":{"id":"2005431","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2005431"},"status":"published"},"_oai":{"id":"oai:u-ryukyu.repo.nii.ac.jp:02005431","sets":["1642837622505:1642837628262:1642837631918","1642838403551:1642838406414"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_1551255647225":"Birational maps of standard projective plane bundles over algebraic surfaces","subitem_1551255648112":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Maeda, Takashi","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"前田, 高士","creatorNameLang":"ja"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_1522299639480":"open access","subitem_1600958577026":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"Let X be a smooth algebraic surface with the function field K and let τ: V → X be a standard P^2-bundle over X, i.e. τ is a flat contraction morphism of an extremal ray of a smooth projective variety V with the generic fibre isomorphic to a K-form of P^2, i.e. V ×x K^^- = P^2 for the algebraic closure K^^- of K. In this paper, some birational maps from V to a standard P^2-bundle W are represented by compositions of elementary birational morphisms, where W is a standrd P^2-bundle over the blow-up of X at a point of the non-smooth locus △ of τ. Let C be a smooth curve on X intersecting △ transeversely at one point. A birational map from V to a standard P^2-bundle over X which is isomorphic over X - C, is decomposed into elementary birational morphisms. These are generalizations of the results about standrd conic bundles by V. G. Sarkisov (Math. USSR. Izv. 20).","subitem_description_type":"Other"},{"subitem_description":"紀要論文","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_1522300295150":"en","subitem_1522300316516":"Department of Mathematics, College of Science, University of the Ryukyus"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_1551255818386":"eng"}]},"item_1617186783814":{"attribute_name":"Identifier","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/20.500.12000/16088"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_1522646500366":"ISSN","subitem_1522646572813":"1344-008X"},{"subitem_1522646500366":"NCID","subitem_1522646572813":"AA10779580"}]},"item_1617186941041":{"attribute_name":"Source Title","attribute_value_mlt":[{"subitem_1522650068558":"en","subitem_1522650091861":"Ryukyu mathematical journal"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1996-12-27","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"35","bibliographicPageStart":"5","bibliographicVolumeNumber":"9"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_1522305645492":"VoR","subitem_1600292170262":"http://purl.org/coar/version/c_970fb48d4fbd8a85"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","filename":"Vol9p005.pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://u-ryukyu.repo.nii.ac.jp/record/2005431/files/Vol9p005.pdf"},"version_id":"7eca1096-c0f1-456c-a74d-2d0af5639cc9"}]},"item_title":"Birational maps of standard projective plane bundles over algebraic surfaces","item_type_id":"15","owner":"1","path":["1642837631918","1642838406414"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2010-03-04"},"publish_date":"2010-03-04","publish_status":"0","recid":"2005431","relation_version_is_last":true,"title":["Birational maps of standard projective plane bundles over algebraic surfaces"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-10-31T02:42:00.197386+00:00"}