{"created":"2024-12-12T01:59:45.615799+00:00","id":2009664,"links":{},"metadata":{"_buckets":{"deposit":"a9848e3a-3194-4aa3-ba00-b2336fae490a"},"_deposit":{"created_by":7,"id":"2009664","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2009664"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02009664","sets":["1713853213384:1713853295607"]},"author_link":["915"],"item_10001_alternative_title_1":{"attribute_name":"タイトル別表記","attribute_value_mlt":[{"subitem_alternative_title":"SPLITTING NUMBERS FOR GALOIS COVERS","subitem_alternative_title_language":"en"}]},"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-09-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"1017","bibliographicPageStart":"1009","bibliographicVolumeNumber":"145","bibliographic_titles":[{"bibliographic_title":"Proceedings of the American Mathematical Society","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper, we introduce splitting numbers of subvarieties in a smooth complex variety for a Galois cover, and prove that the splitting numbers are invariant under certain homeomorphisms. In particular cases, we show that splitting numbers enable us to distinguish the topology of complex plane curves even if the fundamental groups of the complements of plane curves are isomorphic. Consequently, we prove that there are π1-equivalent Zariski k-plets for any integer k ≥ 2.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"American Mathematical Society","subitem_publisher_language":"en"}]},"item_10001_source_id_9":{"attribute_name":"収録物ID","attribute_value_mlt":[{"subitem_source_identifier":"00029939","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"10886826","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA00781790","subitem_source_identifier_type":"NCID"},{"subitem_source_identifier":"AA1245450X","subitem_source_identifier_type":"NCID"}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_1715043197608":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access"}]},"item_1722929371688":{"attribute_name":"出版社版DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"10.1090/proc/13298"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1090/proc/13298","subitem_relation_type_select":"DOI"}}]},"item_1723180141928":{"attribute_name":"EID","attribute_value_mlt":[{"subitem_identifier_type":"URI","subitem_identifier_uri":"384119"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"白根, 竹人","creatorNameLang":"ja"},{"creatorName":"シラネ, タケト","creatorNameLang":"ja-Kana"},{"creatorName":"Shirane, Taketo","creatorNameLang":"en"}],"familyNames":[{"familyName":"白根","familyNameLang":"ja"},{"familyName":"シラネ","familyNameLang":"ja-Kana"},{"familyName":"Shirane","familyNameLang":"en"}],"givenNames":[{"givenName":"竹人","givenNameLang":"ja"},{"givenName":"タケト","givenNameLang":"ja-Kana"},{"givenName":"Taketo","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"915","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"337280/profile-ja.html","nameIdentifierScheme":"徳島大学 教育研究者総覧","nameIdentifierURI":"http://pub2.db.tokushima-u.ac.jp/ERD/person/337280/profile-ja.html"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2022-03-09"}],"displaytype":"detail","filename":"proc_145_3_1009.pdf","filesize":[{"value":"141 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2009664/files/proc_145_3_1009.pdf"},"version_id":"8cf40a64-5fff-4e49-a610-3bda80dbaa35"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Zariski piar","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"π1-equivalent Zariski k-plet","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Galois cover","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"splitting curve","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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A note on splitting numbers for Galois covers and π1-equivalent Zariski k-plets","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A note on splitting numbers for Galois covers and π1-equivalent Zariski k-plets","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"7","path":["1713853295607"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-03-09"},"publish_date":"2022-03-09","publish_status":"0","recid":"2009664","relation_version_is_last":true,"title":["A note on splitting numbers for Galois covers and π1-equivalent Zariski k-plets"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2025-01-28T04:45:56.328992+00:00"}