WEKO3
アイテム
{"_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": ["391", "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\u0027s 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_36": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_text_value": "Thesis"}]}, "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", "download_preview_message": "", "file_order": 0, "filename": "TianR_24_3_PhD_a.pdf", "filesize": [{"value": "1.1 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 1100000.0, "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", "download_preview_message": "", "file_order": 1, "filename": "TianR_24_3_PhD_b.pdf", "filesize": [{"value": "70.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 70900.0, "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\u0027s inequality", "subitem_subject_scheme": "Other"}, {"subitem_subject": "algebraic de Rham cohomology", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Manin\u0027s 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\u0027s 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\u0027s inequality"}]}, "item_type_id": "7", "owner": "1", "path": ["391", "280"], "permalink_uri": "https://doi.org/10.15083/00005568", "pubdate": {"attribute_name": "公開日", "attribute_value": "2014-02-24"}, "publish_date": "2014-02-24", "publish_status": "0", "recid": "5577", "relation": {}, "relation_version_is_last": true, "title": ["The explicit calculation of Čech cohomology and an extension of Davenport\u0027s inequality"], "weko_shared_id": null}
The explicit calculation of Čech cohomology and an extension of Davenport's inequality
https://doi.org/10.15083/00005568
https://doi.org/10.15083/0000556825c90876-f66f-4948-a074-e61b93d6e600
名前 / ファイル | ライセンス | アクション |
---|---|---|
TianR_24_3_PhD_a.pdf (1.1 MB)
|
|
|
TianR_24_3_PhD_b.pdf (70.9 kB)
|
|
Item type | 学位論文 / Thesis or Dissertation(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2014-02-24 | |||||
タイトル | ||||||
タイトル | The explicit calculation of Čech cohomology and an extension of Davenport's inequality | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Davenport's inequality | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | algebraic de Rham cohomology | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Manin's map | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Mordell-Weil lattice | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | 2000MSC: 14J27, 11G05, 14F40 | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_46ec | |||||
タイプ | thesis | |||||
ID登録 | ||||||
ID登録 | 10.15083/00005568 | |||||
ID登録タイプ | JaLC | |||||
その他のタイトル | ||||||
その他のタイトル | Čechコホモロジーの明示的計算とDavenport不等式の拡張 | |||||
著者 |
Tian, Ran
× Tian, Ran |
|||||
著者別名 | ||||||
識別子 | 11612 | |||||
識別子Scheme | WEKO | |||||
姓名 | 田, 然 | |||||
著者所属 | ||||||
著者所属 | 東京大学大学院数理科学研究科 | |||||
著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
Abstract | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | 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. | |||||
書誌情報 | 発行日 2012-03-22 | |||||
日本十進分類法 | ||||||
主題 | 410 | |||||
主題Scheme | NDC | |||||
学位名 | ||||||
学位名 | 博士(数理科学) | |||||
学位 | ||||||
値 | doctoral | |||||
学位分野 | ||||||
Mathematical Sciences (数理科学) | ||||||
学位授与機関 | ||||||
学位授与機関名 | University of Tokyo (東京大学) | |||||
研究科・専攻 | ||||||
Graduate School of Mathematical Sciences (数理科学研究科) | ||||||
学位授与年月日 | ||||||
学位授与年月日 | 2012-03-22 | |||||
学位授与番号 | ||||||
学位授与番号 | 甲第28386号 | |||||
学位記番号 | ||||||
博数理第394号 |