{"created":"2023-07-27T06:53:45.768995+00:00","id":48616,"links":{},"metadata":{"_buckets":{"deposit":"4ffd1390-1aaf-435d-8d8c-3717d63e8f1e"},"_deposit":{"created_by":18,"id":"48616","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"48616"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00048616","sets":["2812:2813:2815"]},"author_link":["86502","86503"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-06-10","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"4p.","bibliographicVolumeNumber":"2016-04-01 - 2019-03-31","bibliographic_titles":[{"bibliographic_title":"平成30(2018)年度 科学研究費補助金 基盤研究(C) 研究成果報告書"},{"bibliographic_title":"2018 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Matsutani, Shigeki"}],"nameIdentifiers":[{"nameIdentifier":"86503","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"30758090","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=30758090"}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"次の成果を得た：（１）非対称数値半群をWeierstrass非空隙列に持つWeierstrass正規形式でのリーマン定数の決定。（２）一般のWeierstrass正規形式に対するJacobiの逆公式の決定。（３）戸田格子方程式の種数gの擬周期解と2N周期解との対応と曲線の被覆の関係の明示化。（４）種数3の巡回型３次曲線の曲線の退化に対するσ関数との振る舞いの決定。（５）弾性曲線の一般化としてのMKdV階層とFaber多項式との関係の明確化。（６）異分野との融合に関わる研究の推進（量子ウォークと光学・グラフ理論と炭素の電気伝導・ロボティックスとリー群での経路空間・結晶のらせん転位の代数的表現）","subitem_description_type":"Abstract"},{"subitem_description":"We have the following results: 1) The determination of the Riemann constant for every algebraic curve which is given by the Weierstrass normal form even with non-symmetric numerical semigroup as Weierstrass non-gap at its infinity, 2) Jacobi inversion formulae for a general Weierstrass normal form, 3) Clarification of the relation between covering of the curve and correspondence of the hyperelliptic quasi-periodic solution to periodic solution of the Toda lattice equation, 4) Formulation of the behavior of sigma function for a degeneration of trigonal cyclic curve, 5) Relation of the MKdV hierarchy of the isometric deformation of curve in a plane and the Faber polynomial, and 6) Applications of mathematics to other fields (Quantum walk and coloring, Graph zeta function and conductivity of carbon, path space of the Lie group and robotics, algebraic description of screw dislocation)","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:16K05187, 研究期間(年度):2016-04-01 - 2019-03-31","subitem_description_type":"Other"},{"subitem_description":"出典：研究課題「アーベル関数論の可積分系への応用」課題番号16K05187\n（KAKEN：科学研究費助成事業データベース（国立情報学研究所）） \n（https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-16K05187/16K05187seika/）を加工して作成","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00054938","subitem_identifier_reg_type":"JaLC"}]},"item_9_publisher_17":{"attribute_name":"公開者","attribute_value_mlt":[{"subitem_publisher":"佐世保工業高等専門学校 / 金沢大学理工研究域電子情報通信学系"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/search/?qm=30758090"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=30758090","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K05187/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K05187/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-16K05187/16K05187seika/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-16K05187/16K05187seika/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"松谷, 茂樹"}],"nameIdentifiers":[{"nameIdentifier":"86502","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"30758090","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=30758090"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-04-27"}],"displaytype":"detail","filename":"TE-PR-MATSUTANI-S-kaken 2019-4p.pdf","filesize":[{"value":"168.0 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"TE-PR-MATSUTANI-S-kaken 2019-4p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/48616/files/TE-PR-MATSUTANI-S-kaken 2019-4p.pdf"},"version_id":"9e5abce0-0dc5-4896-bfd6-2468a840da91"}]},"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":"アーベル関数論の可積分系への応用","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"アーベル関数論の可積分系への応用"},{"subitem_title":"Application of Abelian function theory to Integrable system","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["2815"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-04-27"},"publish_date":"2020-04-27","publish_status":"0","recid":"48616","relation_version_is_last":true,"title":["アーベル関数論の可積分系への応用"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-07-01T05:29:14.058643+00:00"}