{"created":"2022-06-23T07:21:26.440819+00:00","id":2005203,"links":{},"metadata":{"_buckets":{"deposit":"f48cf852-c137-4048-af10-c5047b2e9f58"},"_deposit":{"id":"2005203","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2005203"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:02005203","sets":["312:6865:1655967293406:1655967376130","9:504:6868:1655967151838:1655967215050"]},"author_link":[],"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-11-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"64","bibliographicPageStart":"29","bibliographicVolumeNumber":"27","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Sciences The University of Tokyo","bibliographic_titleLang":"en"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We define a generalization of the Brauer group $\\HB^{n}(X)$ for an equi-dimensional scheme $X$ and $n>0$. In the case where $X$ is the spectrum of a local ring of a smooth algebra over a discrete valuation ring, $\\HB^{n}(X)$ agrees with the \\'{e}tale motivic cohomology $\\HO^{n+1}_{\\mathrm{\\acute{e}t}}\\left(X, \\mathbb{Z}(n-1)\\right)$. We prove (a part of) the Gersten-type conjecture for the generalized Brauer group for a local ring of a smooth algebra over a mixed characteristic discrete valuation ring and an isomorphism $\\HB^{n}\\left( R \\right) \\simeq \\HB^{n}\\left( k \\right)$ for a henselian local ring $R$ of a smooth algebra over a mixed characteristic discrete valuation ring and the residue field $k$ of $R$. As an application, we show local-global principles for Galois cohomology groups over function fields of smooth curves over a mixed characteristic excellent henselian discrete valuation ring. ","subitem_description_language":"en","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","subitem_publisher_language":"en"}]},"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_language":"en","subitem_text_value":"14F30(MSC2010)"},{"subitem_text_language":"en","subitem_text_value":"14F22(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2019-06-05"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Indian Institute of Science Education and Research, Mohali"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Indian Institute of Science Education and Research, Mohali","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Sakagaito, Makoto","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"date":[{"dateType":"Available","dateValue":"2022-06-23"}],"displaytype":"detail","filename":"jms270102.pdf","filesize":[{"value":"234.2 KB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/2005203/files/jms270102.pdf"},"version_id":"3a75c16c-73c3-4354-92e1-f0d87780e80c"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Brauer group","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Gersten's conjecture","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"local-global principle","subitem_subject_language":"en","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":"On a Generalized Brauer Group in Mixed Characteristic Cases","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On a Generalized Brauer Group in Mixed Characteristic Cases","subitem_title_language":"en"}]},"item_type_id":"4","owner":"1","path":["1655967376130","1655967215050"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-06-23"},"publish_date":"2022-06-23","publish_status":"0","recid":"2005203","relation_version_is_last":true,"title":["On a Generalized Brauer Group in Mixed Characteristic Cases"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-19T05:36:48.978364+00:00"}