{"created":"2021-03-01T07:16:38.843805+00:00","id":54885,"links":{},"metadata":{"_buckets":{"deposit":"68bf06da-47a6-4fe9-8501-ac7fd7b34ffe"},"_deposit":{"id":"54885","owners":[],"pid":{"revision_id":0,"type":"depid","value":"54885"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00054885","sets":["312:6865:8351:8518","9:504:6868:8353:8519"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-12-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"334","bibliographicPageStart":"249","bibliographicVolumeNumber":"26","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":"In this paper, we formulate axioms of certain graded cohomology theory and define higher Chern class maps following the method of Gillet [Gi1]. We will not include homotopy invariance nor purity in our axioms. It will turn out that the Riemann-Roch theorem without denominators holds for our higher Chern classes. We will give two applications of our Riemann-Roch results in $\\S\\S11-13$.","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_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"14C40(MSC2010)"},{"subitem_text_value":"19E20(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2015-09-15"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, Hokkaido University"},{"subitem_text_value":"Department of Mathematics, Chuo University"},{"subitem_text_value":"Mathematical Science Team, RIKEN Center for Advanced Intelligence Project (AIP)"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Asakura  Masanori"}],"nameIdentifiers":[{"nameIdentifier":"163303","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Sato, Kanetomo"}],"nameIdentifiers":[{"nameIdentifier":"163304","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Hagihara, Kei"}],"nameIdentifiers":[{"nameIdentifier":"163305","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":"2020-12-22"}],"displaytype":"detail","filename":"jms260301.pdf","filesize":[{"value":"657.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms260301.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/54885/files/jms260301.pdf"},"version_id":"0a263f78-9d1b-4d3b-a52a-5327738fb6ea"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":" $K$-theory","subitem_subject_scheme":"Other"},{"subitem_subject":"cohomology theory","subitem_subject_scheme":"Other"},{"subitem_subject":"Chern class","subitem_subject_scheme":"Other"},{"subitem_subject":"Riemann-Roch theorem","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":"Chern Class and Riemann-Roch Theorem for Cohomology Theory without Homotopy Invariance","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Chern Class and Riemann-Roch Theorem for Cohomology Theory without Homotopy Invariance"}]},"item_type_id":"4","owner":"1","path":["8518","8519"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-12-22"},"publish_date":"2020-12-22","publish_status":"0","recid":"54885","relation_version_is_last":true,"title":["Chern Class and Riemann-Roch Theorem for Cohomology Theory without Homotopy Invariance"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:32:15.048459+00:00"}