{"created":"2021-03-01T06:59:48.555038+00:00","id":40217,"links":{},"metadata":{"_buckets":{"deposit":"2563971a-2bf5-40c4-94df-f38e5aba954f"},"_deposit":{"id":"40217","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40217"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040217","sets":["312:6865:7007:7015","9:504:6868:7009:7016"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2001","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"87","bibliographicPageStart":"71","bibliographicVolumeNumber":"8","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let $P^3_o$ be the set of the homogeneous polynomials of degree $3$ such that on their graphs, the origin $o:=(0, 0, 0)$ of {\\bf R}$^3$ is isolated as an umbilical point, and $P^{3,1/2}_o , P^{3,-1/2}_o$ the sets of the elements of $P^3_o$ such that on their graphs, the index of $o$ is equal to $1/2, -1/2$, respectively. In this paper, it is seen that $P^3_o$ is divided into $P^{3,1/2}_o$ and $P^{3,-1/2}_o$ by the cone obtained from a rectangular torus in the vector space of the homogeneous polynomials of degree $3$.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR1818906"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"60F10(MSC2000)"},{"subitem_text_value":"60J60(MSC2000)"},{"subitem_text_value":"53A05(MSC1991)"},{"subitem_text_value":"53A99(MSC1991)"},{"subitem_text_value":"53B25(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2000-04-10"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ando, Naoya"}],"nameIdentifiers":[{"nameIdentifier":"138813","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":"2017-06-27"}],"displaytype":"detail","filename":"jms080105.pdf","filesize":[{"value":"147.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms080105.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40217/files/jms080105.pdf"},"version_id":"ce64c6f8-2f4b-4870-9d38-e69635cedbad"}]},"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":"Umbilical Points of the Graphs of Homogeneous Polynomials of Degree 3","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Umbilical Points of the Graphs of Homogeneous Polynomials of Degree 3"}]},"item_type_id":"4","owner":"1","path":["7015","7016"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40217","relation_version_is_last":true,"title":["Umbilical Points of the Graphs of Homogeneous Polynomials of Degree 3"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:23.408375+00:00"}