{"created":"2023-06-19T11:39:22.365685+00:00","id":7399,"links":{},"metadata":{"_buckets":{"deposit":"1dc8debc-666c-4ead-b494-1f78ad27220b"},"_deposit":{"created_by":15,"id":"7399","owners":[15],"pid":{"revision_id":0,"type":"depid","value":"7399"},"status":"published"},"_oai":{"id":"oai:mie-u.repo.nii.ac.jp:00007399","sets":["143:602:1692661405337"]},"author_link":["17402"],"item_8_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-04-25","bibliographicIssueDateType":"Issued"}}]},"item_8_description_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_8_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"(1)木村氏の定義した退化ガルニエ系G(3,1,1)と,研究代表者の定義した退化ガルニエ系G(5/2,1,1)を考察し,G(3,1,1)とG(5/2,1,1)の有理解をすべて決定した.(2)木村氏の定義した退化ガルニエ系G(3,2)の代数解をすべて決定した.(3)(1),(2)の結果を用いて,退化ガルニエ系G(5/2,1,1),G(3,1,1),G(3,2)が双有理な変換で写りあわないことを示した.(4)リーマン球面上で3つの確定特異点を持つ3階のフックス型方程式を考察し,このシュレジンガー変換が差分のVI型パンルヴェ方程式になることを示した.また同様の考察を行えば差分ガルニエ系を構成できることを示した.","subitem_description_type":"Abstract"},{"subitem_description":"(1) We consider degenerate Garnier systems G(3,1,1) (which is defined by H.Kimura) and G(5/2,1,1) (which is defined by H.Kawamuko), and find all rational solutions of each equation.(2) We consider degenerate Garnier system G(3,2) (which is defined by H.Kimura), and find all algebraic solutions of G (3,2).(3) By using the results (1) and (2), we show that there is no birational transformation between these systems.(4) We consider a third order Fuchsian differential equation which has three regular singular points on Riemann sphere, and show that the Schlesinger transformation is equivalent to a difference VI Painlev\\'e equation. Moreover, we can define a difference Garnier system in a similar way.","subitem_description_type":"Abstract"}]},"item_8_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"平成20~22年度科学研究費補助金(基盤研究(C))研究成果報告書","subitem_description_type":"Other"}]},"item_8_description_64":{"attribute_name":"科研費番号","attribute_value_mlt":[{"subitem_description":"20540207","subitem_description_type":"Other"}]},"item_8_publisher_30":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"三重大学"}]},"item_8_text_18":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_text_value":"Analysis of an algebraic structure of a degenerate Garnier system from a viewpoint of algebraic solutions"}]},"item_8_text_65":{"attribute_name":"資源タイプ（三重大）","attribute_value_mlt":[{"subitem_text_value":"Kaken / 科研費報告書"}]},"item_8_version_type_15":{"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_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"川向, 洋之","creatorNameLang":"ja"},{"creatorName":"KAWAMUKO, Hiroyuki","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-02-18"}],"displaytype":"detail","filename":"20K16702.pdf","filesize":[{"value":"279.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"20K16702.pdf","url":"https://mie-u.repo.nii.ac.jp/record/7399/files/20K16702.pdf"},"version_id":"9997607b-cae4-47ad-9a98-d8656b899342"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ガルニエ系","subitem_subject_scheme":"Other"},{"subitem_subject":"有理解","subitem_subject_scheme":"Other"},{"subitem_subject":"代数解","subitem_subject_scheme":"Other"},{"subitem_subject":"差分パンルヴェ方程式","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"２変数退化ガルニエ系の代数解と，代数解による代数構造の解析","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"２変数退化ガルニエ系の代数解と，代数解による代数構造の解析","subitem_title_language":"ja"}]},"item_type_id":"8","owner":"15","path":["1692661405337"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2014-03-10"},"publish_date":"2014-03-10","publish_status":"0","recid":"7399","relation_version_is_last":true,"title":["２変数退化ガルニエ系の代数解と，代数解による代数構造の解析"],"weko_creator_id":"15","weko_shared_id":-1},"updated":"2023-10-20T04:39:52.567373+00:00"}