{"created":"2021-03-01T07:08:16.664858+00:00","id":47650,"links":{},"metadata":{"_buckets":{"deposit":"23a2a768-f947-46d4-ba43-3ed1b34f3dde"},"_deposit":{"id":"47650","owners":[],"pid":{"revision_id":0,"type":"depid","value":"47650"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00047650","sets":["312:6865:6866:7570","9:504:6868:6869:7571"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-06-24","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"726","bibliographicPageStart":"675","bibliographicVolumeNumber":"23","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"This work is motivated by the canonical model of degenerations of Riemann surfaces. For a quotient space Ad−1/Γ of a 'multiplicative'A-singularity Ad−1 in Cn+1 under a certain cyclic group action Γ on Ad−1, we explicitly construct a small finite abelian subgroup G of GL(n, C) such that Ad−1/Γ ∼= Cn/G. A resolution of Cn/G gives a decomposition of the monodromy (a higher-dimensional fractional Dehn twist) of a degeneration Ad−1/Γ → C into subtwists along the exceptional set (it seems that T. Ashikaga’s work on resolutions is related to this). Moreover: (1) We give a numerical criterion for a certain subgroup of GL(n,C) to be small. (2) For a certain family of subgroups of GL(n, C), we show that if one subgroup of this family is small, then all subgroups of this family are small (equi-smallness theorem).","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_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"32Q30(MSC2010)"},{"subitem_text_value":"14D05(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2015-05-28"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, Graduate School of Science, Kyoto University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Sasaki, Kenjiro"}],"nameIdentifiers":[{"nameIdentifier":"142841","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Takamura, Shigeru"}],"nameIdentifiers":[{"nameIdentifier":"142842","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":"2017-08-07"}],"displaytype":"detail","filename":"jms230305.pdf","filesize":[{"value":"442.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms230305.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/47650/files/jms230305.pdf"},"version_id":"1c510922-70c3-4321-ae0c-572f95e234f5"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Uniformization of singularity","subitem_subject_scheme":"Other"},{"subitem_subject":"Monodromy","subitem_subject_scheme":"Other"},{"subitem_subject":"Degeneration of Riemann surfaces","subitem_subject_scheme":"Other"},{"subitem_subject":"Fractional Dehn twist","subitem_subject_scheme":"Other"},{"subitem_subject":"Small group","subitem_subject_scheme":"Other"},{"subitem_subject":"Pseudo-reflection group","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":"Uniformization of Cyclic Quotients of Multiplicative A-singularities","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Uniformization of Cyclic Quotients of Multiplicative A-singularities"}]},"item_type_id":"4","owner":"1","path":["7570","7571"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-06-30"},"publish_date":"2017-06-30","publish_status":"0","recid":"47650","relation_version_is_last":true,"title":["Uniformization of Cyclic Quotients of Multiplicative A-singularities"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:21:07.483915+00:00"}