{"created":"2023-05-15T13:44:37.994298+00:00","id":1082,"links":{},"metadata":{"_buckets":{"deposit":"fd0b3a2c-312f-4ee3-a256-6a37ac98a646"},"_deposit":{"created_by":1,"id":"1082","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"1082"},"status":"published"},"_oai":{"id":"oai:chuo-u.repo.nii.ac.jp:00001082","sets":["88"]},"author_link":["23328","23327"],"item_2_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-01-11","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"100","bibliographic_titles":[{"bibliographic_title":"数学科プレプリントシリーズ"},{"bibliographic_title":"PREPRINT SERIES","bibliographic_titleLang":"en"}]}]},"item_2_description_20":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_2_description_6":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Our aim in this paper is to compute the  rst cohomology of some type of nite group schemes. L. G. Roberts [7] gave the  rst cohomology of group schemes in certain conditions. We compute it by completely different way and under circumstances, by using the concept of cyclotomic twisted tori. The concept was introduced by Y. Koide and T. Sekiguchi [4], and they showed that such a twisted torus is isomorphic to a subgroup scheme in a Weil restriction of 1-dimensional algebraic torus given by the intersection of whole norm maps. Here we extend the isomorphism to a resolution of the cyclotomic twisted torus, consisting of Weil restriction of 1-dimensional algebraic tori and several norm maps. And we describe the endomorphism ring of a cyclotomic twisted torus. Moreover, we show that by using the resolution, one can compute that  rst cohomology of a cyclotomic twisted torus, and that one can describe the torsors of some type of  nite group schemes by using the concept of cyclotomic twisted tori.","subitem_description_type":"Abstract"}]},"item_2_full_name_5":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"23327","nameIdentifierScheme":"WEKO"}],"names":[{"name":"關口, 力"}]}]},"item_2_publisher_9":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"中央大学理工学部数学科"}]},"item_2_rights_16":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。"}]},"item_2_version_type_21":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"SEKIGUCHI, Tsutomu","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23327","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"TODA, Yohei","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"23328","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":"2019-04-22"}],"displaytype":"detail","filename":"MATH_preprint~100.pdf","filesize":[{"value":"467.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"本文を見る(PDFファイル)","url":"https://chuo-u.repo.nii.ac.jp/record/1082/files/MATH_preprint~100.pdf"},"version_id":"567e719a-0843-4011-932e-e4a7dacd5855"}]},"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":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"On the cyclotomic twisted torus and some torsors","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the cyclotomic twisted torus and some torsors","subitem_title_language":"en"}]},"item_type_id":"2","owner":"1","path":["88"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-06-05"},"publish_date":"2013-06-05","publish_status":"0","recid":"1082","relation_version_is_last":true,"title":["On the cyclotomic twisted torus and some torsors"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-15T18:50:10.629223+00:00"}