{"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"},"item_7_alternative_title_1":{"attribute_name":"\u305d\u306e\u4ed6\u306e\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_alternative_title":"\u010cech\u30b3\u30db\u30e2\u30ed\u30b8\u30fc\u306e\u660e\u793a\u7684\u8a08\u7b97\u3068Davenport\u4e0d\u7b49\u5f0f\u306e\u62e1\u5f35"}]},"item_7_biblio_info_7":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2012-03-22","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{}]}]},"item_7_date_granted_25":{"attribute_name":"\u5b66\u4f4d\u6388\u4e0e\u5e74\u6708\u65e5","attribute_value_mlt":[{"subitem_dategranted":"2012-03-22"}]},"item_7_degree_grantor_23":{"attribute_name":"\u5b66\u4f4d\u6388\u4e0e\u6a5f\u95a2","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_name":"University of Tokyo (\u6771\u4eac\u5927\u5b66)"}]}]},"item_7_degree_name_20":{"attribute_name":"\u5b66\u4f4d\u540d","attribute_value_mlt":[{"subitem_degreename":"\u535a\u58eb(\u6570\u7406\u79d1\u5b66)"}]},"item_7_description_5":{"attribute_name":"\u6284\u9332","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 \u010cech cohomology of sheaves of differentials on an elliptic surface.","subitem_description_type":"Abstract"}]},"item_7_dissertation_number_26":{"attribute_name":"\u5b66\u4f4d\u6388\u4e0e\u756a\u53f7","attribute_value_mlt":[{"subitem_dissertationnumber":"\u7532\u7b2c28386\u53f7"}]},"item_7_full_name_3":{"attribute_name":"\u8457\u8005\u5225\u540d","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"11612","nameIdentifierScheme":"WEKO"}],"names":[{"name":"\u7530, \u7136"}]}]},"item_7_identifier_registration":{"attribute_name":"ID\u767b\u9332","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00005568","subitem_identifier_reg_type":"JaLC"}]},"item_7_select_21":{"attribute_name":"\u5b66\u4f4d","attribute_value_mlt":[{"subitem_select_item":"doctoral"}]},"item_7_subject_13":{"attribute_name":"\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_7_text_22":{"attribute_name":"\u5b66\u4f4d\u5206\u91ce","attribute_value_mlt":[{"subitem_text_value":"Mathematical Sciences (\u6570\u7406\u79d1\u5b66)"}]},"item_7_text_24":{"attribute_name":"\u7814\u7a76\u79d1\u30fb\u5c02\u653b","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Mathematical Sciences (\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1)"}]},"item_7_text_27":{"attribute_name":"\u5b66\u4f4d\u8a18\u756a\u53f7","attribute_value_mlt":[{"subitem_text_value":"\u535a\u6570\u7406\u7b2c394\u53f7"}]},"item_7_text_4":{"attribute_name":"\u8457\u8005\u6240\u5c5e","attribute_value_mlt":[{"subitem_text_value":"\u6771\u4eac\u5927\u5b66\u5927\u5b66\u9662\u6570\u7406\u79d1\u5b66\u7814\u7a76\u79d1"},{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Tian, Ran"}],"nameIdentifiers":[{"nameIdentifier":"11611","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"\u30d5\u30a1\u30a4\u30eb\u60c5\u5831","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":"\u30ad\u30fc\u30ef\u30fc\u30c9","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":"\u8a00\u8a9e","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"\u8cc7\u6e90\u30bf\u30a4\u30d7","attribute_value_mlt":[{"resourcetype":"thesis","resourceuri":"http://purl.org/coar/resource_type/c_46ec"}]},"item_title":"The explicit calculation of \u010cech cohomology and an extension of Davenport's inequality","item_titles":{"attribute_name":"\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_title":"The explicit calculation of \u010cech cohomology and an extension of Davenport's inequality"}]},"item_type_id":"7","owner":"1","path":["312/391","9/233/280"],"pubdate":{"attribute_name":"\u516c\u958b\u65e5","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 \u010cech cohomology and an extension of Davenport's inequality"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2021-03-01T19:40:41.727267+00:00"}