{"_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": ["1642837631918", "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", "download_preview_message": "", "file_order": 0, "filename": "Vol9p005.pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 0, "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"], "permalink_uri": "http://hdl.handle.net/20.500.12000/16088", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2010-03-04"}, "publish_date": "2010-03-04", "publish_status": "0", "recid": "2005431", "relation": {}, "relation_version_is_last": true, "title": ["Birational maps of standard projective plane bundles over algebraic surfaces"], "weko_shared_id": -1}