{"created":"2021-03-01T06:59:36.566585+00:00","id":40042,"links":{},"metadata":{"_buckets":{"deposit":"3883e78c-2776-46f4-a23d-b50e80a1a6d9"},"_deposit":{"id":"40042","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40042"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040042","sets":["312:6865:6909:6915","9:504:6868:6911:6916"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-12-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"191","bibliographicPageStart":"181","bibliographicVolumeNumber":"18","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says that a parabolic vector bundle E* with rational parabolic weights is semistable if and only if there is another parabolic vector bundle F* with rational parabolic weights such that the cohomologies of the vector bundle underlying the parabolic tensor product E*　⊗　F* vanish. This criterion generalizes the known semistability criterion of Faltings for vector bundles on curves and significantly improves the result in [Bis07].","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_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"14F05(MSC2010)"},{"subitem_text_value":"14H60(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2011-03-07"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"School of Mathematics, Tata Institute of Fundamental Research"},{"subitem_text_value":"Department of Mathematics, University of Western Ontario"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Biswas, Indranil"}],"nameIdentifiers":[{"nameIdentifier":"92490","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Dhillon, Ajneet"}],"nameIdentifiers":[{"nameIdentifier":"92491","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":"2017-06-14"}],"displaytype":"detail","filename":"jms180203.pdf","filesize":[{"value":"132.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms180203.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40042/files/jms180203.pdf"},"version_id":"1fdef8e8-e5ee-4f84-9efb-dac57e80a491"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Parabolic bundle","subitem_subject_scheme":"Other"},{"subitem_subject":"root stack","subitem_subject_scheme":"Other"},{"subitem_subject":"semistability","subitem_subject_scheme":"Other"},{"subitem_subject":"cohomology","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":"Semistability Criterion for Parabolic Vector Bundles on Curves","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Semistability Criterion for Parabolic Vector Bundles on Curves"}]},"item_type_id":"4","owner":"1","path":["6915","6916"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-12-12"},"publish_date":"2012-12-12","publish_status":"0","recid":"40042","relation_version_is_last":true,"title":["Semistability Criterion for Parabolic Vector Bundles on Curves"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:57.352962+00:00"}