{"created":"2024-05-10T04:32:42.741429+00:00","id":2000903,"links":{},"metadata":{"_buckets":{"deposit":"8dafb701-9c56-4d36-a6ef-67d2e3fe1ffc"},"_deposit":{"created_by":17,"id":"2000903","owner":"17","owners":[17],"pid":{"revision_id":0,"type":"depid","value":"2000903"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:02000903","sets":["616:627:1715309017648"]},"author_link":[],"control_number":"2000903","item_6_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2023","bibliographicIssueDateType":"Issued"},"bibliographicNumberOfPages":"33","bibliographicPageEnd":"32","bibliographicPageStart":"1","bibliographicVolumeNumber":"69","bibliographic_titles":[{"bibliographic_title":"Yokohama Mathematical Journal","bibliographic_titleLang":"en"}]}]},"item_6_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The curve C over C associated to Appell-Lauricella hypergeometric series and regular differential forms on its desingularization were previously studied by Archinard. In this paper, we first generalize Archinard’s results for a field K under a mild condition on its characteristic. Second, we describe a partial desingularization of C and the space of global sections of its dualizing sheaf, especially we give an explicit basis of it. Finally, when the characteristic is positive, we show that the Cartier operator on the space can be defined and describe it in terms of Appell-Lauricella hypergeometric series.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_6_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.18880/0002000903","subitem_identifier_reg_type":"JaLC"}]},"item_6_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Yokohama National University","subitem_publisher_language":"en"}]},"item_6_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA0089285X","subitem_source_identifier_type":"NCID"}]},"item_6_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00440523","subitem_source_identifier_type":"PISSN"}]},"item_6_version_type_18":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Graduate School of Information Science and Technology, The University of Tokyo","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Ryo, Ohashi","creatorNameLang":"en"}]},{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Graduate School of Environment and Information Sciences, Yokohama National University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Shushi, Harashita","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateValue":"2024-05-10"}],"displaytype":"detail","fileDate":[{"fileDateType":"Issued","fileDateValue":"2023"}],"filename":"YMJ69_N2121.pdf","format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"YMJ69_N2121.pdf","objectType":"fulltext","url":"https://ynu.repo.nii.ac.jp/record/2000903/files/YMJ69_N2121.pdf"},"version_id":"44e1e45e-169f-4433-80f3-be30f291d844"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Algebraic curves, Cartier-Manin matrix, Cartier operator, Differential forms, Hypergeometric series, Positive characteristic","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"14H10, 14F40, 14G17, 33C70","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Differential forms on the curves associated to Appell-Lauricella hypergeometric series and the Cartier operator on them","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Differential forms on the curves associated to Appell-Lauricella hypergeometric series and the Cartier operator on them","subitem_title_language":"en"}]},"item_type_id":"6","owner":"17","path":["1715309017648"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2024-05-10"},"publish_date":"2024-05-10","publish_status":"0","recid":"2000903","relation_version_is_last":true,"title":["Differential forms on the curves associated to Appell-Lauricella hypergeometric series and the Cartier operator on them"],"weko_creator_id":"17","weko_shared_id":-1},"updated":"2024-06-23T23:49:31.786778+00:00"}