{"created":"2021-03-01T06:22:16.634385+00:00","id":5577,"links":{},"metadata":{"_buckets":{"deposit":"0f4a8937-7012-42f1-b29e-14a508f9fd42"},"_deposit":{"id":"5577","owners":[],"pid":{"revision_id":0,"type":"depid","value":"5577"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00005577","sets":["312:391","9:233:280"]},"item_7_alternative_title_1":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"Čechコホモロジーの明示的計算とDavenport不等式の拡張"}]},"item_7_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2012-03-22","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{}]}]},"item_7_date_granted_25":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2012-03-22"}]},"item_7_degree_grantor_23":{"attribute_name":"学位授与機関","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"University of Tokyo (東京大学)"}]}]},"item_7_degree_name_20":{"attribute_name":"学位名","attribute_value_mlt":[{"subitem_degreename":"博士(数理科学)"}]},"item_7_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We extend Davenport's inequality to general elliptic curves over C(t) written in Weierstrass forms. The obtained result is an effective version of a result by Voloch, and also improves a bound given by Hindry-Silverman. The method depends on an explicit calculation of the Čech cohomology of sheaves of differentials on an elliptic surface.","subitem_description_type":"Abstract"}]},"item_7_dissertation_number_26":{"attribute_name":"学位授与番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第28386号"}]},"item_7_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"11612","nameIdentifierScheme":"WEKO"}],"names":[{"name":"田, 然"}]}]},"item_7_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00005568","subitem_identifier_reg_type":"JaLC"}]},"item_7_select_21":{"attribute_name":"学位","attribute_value_mlt":[{"subitem_select_item":"doctoral"}]},"item_7_subject_13":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_7_text_22":{"attribute_name":"学位分野","attribute_value_mlt":[{"subitem_text_value":"Mathematical Sciences (数理科学)"}]},"item_7_text_24":{"attribute_name":"研究科・専攻","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences (数理科学研究科)"}]},"item_7_text_27":{"attribute_name":"学位記番号","attribute_value_mlt":[{"subitem_text_value":"博数理第394号"}]},"item_7_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"東京大学大学院数理科学研究科"},{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tian, Ran"}],"nameIdentifiers":[{"nameIdentifier":"11611","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":"2017-06-01"}],"displaytype":"detail","filename":"TianR_24_3_PhD_a.pdf","filesize":[{"value":"1.1 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"TianR_24_3_PhD_a.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/5577/files/TianR_24_3_PhD_a.pdf"},"version_id":"d4155571-76c6-4c23-85d9-ba71fe8e04b1"},{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-01"}],"displaytype":"detail","filename":"TianR_24_3_PhD_b.pdf","filesize":[{"value":"70.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"TianR_24_3_PhD_b.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/5577/files/TianR_24_3_PhD_b.pdf"},"version_id":"512d0ccf-cf4e-4850-b884-c55305bd557d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Davenport's inequality","subitem_subject_scheme":"Other"},{"subitem_subject":"algebraic de Rham cohomology","subitem_subject_scheme":"Other"},{"subitem_subject":"Manin's map","subitem_subject_scheme":"Other"},{"subitem_subject":"Mordell-Weil lattice","subitem_subject_scheme":"Other"},{"subitem_subject":"2000MSC: 14J27, 11G05, 14F40","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":"thesis","resourceuri":"http://purl.org/coar/resource_type/c_46ec"}]},"item_title":"The explicit calculation of Čech cohomology and an extension of Davenport's inequality","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The explicit calculation of Čech cohomology and an extension of Davenport's inequality"}]},"item_type_id":"7","owner":"1","path":["391","280"],"pubdate":{"attribute_name":"公開日","attribute_value":"2014-02-24"},"publish_date":"2014-02-24","publish_status":"0","recid":"5577","relation_version_is_last":true,"title":["The explicit calculation of Čech cohomology and an extension of Davenport's inequality"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T03:47:09.579929+00:00"}