{"created":"2021-03-01T06:59:40.747420+00:00","id":40103,"links":{},"metadata":{"_buckets":{"deposit":"f405aa36-3f38-4738-a7a9-c9a1a452aade"},"_deposit":{"id":"40103","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40103"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040103","sets":["312:6865:6949:6953","9:504:6868:6951:6954"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-10-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"498","bibliographicPageStart":"293","bibliographicVolumeNumber":"14","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this article, a log del~Pezzo surface of index two means a projective normal non-Gorenstein surface \\( S \\) such that \\( (S, 0) \\) is a log-terminal pair, the anti-canonical divisor \\( -K_{S} \\) is ample and that \\( 2K_{S} \\) is Cartier. The log del~Pezzo surfaces of index two are shown to be constructed from data \\( (X, E, \\Delta) \\) called fundamental triplets consisting of a non-singular rational surface \\( X \\), a simple normal crossing divisor \\( E \\) of \\( X \\), and an effective Cartier divisor \\( \\Delta \\) of \\( E \\) satisfying a suitable condition. A geometric classification of the fundamental triplets gives a classification of the log del~Pezzo surfaces of index two. As a result, any log del~Pezzo surface of index two can be described explicitly as a subvariety of a weighted projective space or of the product of two weighted projective spaces. This classification does not use the theory of K3 lattices, which is essential for the classification by Alexeev--Nikulin \\cite{AN}. The comparison between two classifications is also discussed.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"14J25(MSC2000)"},{"subitem_text_value":"14J26(MSC2000)"},{"subitem_text_value":"14J70(MSC2000)"},{"subitem_text_value":"14E30(MSC2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2006-11-17"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nakayama, Noboru"}],"nameIdentifiers":[{"nameIdentifier":"138674","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"jms140301.pdf","filesize":[{"value":"1.7 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms140301.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40103/files/jms140301.pdf"},"version_id":"408af379-0207-44b5-be4e-444774737074"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"del Pezzo surface","subitem_subject_scheme":"Other"},{"subitem_subject":"ruled surface","subitem_subject_scheme":"Other"},{"subitem_subject":"extremal ray","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Classification of log del~Pezzo surfaces of index two","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Classification of log del~Pezzo surfaces of index two"}]},"item_type_id":"4","owner":"1","path":["6953","6954"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-10-15"},"publish_date":"2008-10-15","publish_status":"0","recid":"40103","relation_version_is_last":true,"title":["Classification of log del~Pezzo surfaces of index two"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:13:34.283875+00:00"}