{"created":"2023-05-16T08:14:31.133551+00:00","id":2007502,"links":{},"metadata":{"_buckets":{"deposit":"cf8138d5-9fcd-4ca9-bf7e-8b66f400c814"},"_deposit":{"created_by":18,"id":"2007502","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"2007502"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:02007502","sets":["312:6865:1684224059064:1684224099751","9:504:6868:1684224137175:1684224167915"]},"author_link":[],"control_number":"2007502","item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-05-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"50","bibliographicPageStart":"1","bibliographicVolumeNumber":"29","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Sciences The University of Tokyo","bibliographic_titleLang":"en"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Open Calabi-Yau manifolds and log Calabi-Yau varieties have been broadly studied over decades. Regarding them as “semistable” objects, we propose to consider their good proper subclass, which we regard as certain polystable ones, morally corresponding to semistable with closed (minimal) orbits as the classical analogue of GIT.\nWe partially confirm that the new polystability seems equivalent to the existence of non-compact complete Ricci-flat Kähler metrics with small volume growths, notably many examples of gravitational instantons. Also, we prove some compactness or polystable reduction type results, partially motivated by bubbles of compact Ricci-flat metrics.","subitem_description_language":"en","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","subitem_publisher_language":"en"}]},"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_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"14J32(MSC2020)"},{"subitem_text_language":"en","subitem_text_value":"14L24(MSC2020)"},{"subitem_text_language":"en","subitem_text_value":"32Q20(MSC2020)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2020-10-20"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Department of Mathematics, Kyoto university"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Kyoto University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Odaka, Yuji","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-05-16"}],"displaytype":"detail","filename":"jms290101.pdf","filesize":[{"value":"319.2 KB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/2007502/files/jms290101.pdf"},"version_id":"563fa387-297a-421f-8971-20de577c5436"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"K-stability","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"log Calabi-Yau varieties","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Ricci-flat Kähler metrics","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"gravitational","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":"Polystable Log Calabi-Yau Varieties and Gravitational Instantons","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Polystable Log Calabi-Yau Varieties and Gravitational Instantons","subitem_title_language":"en"}]},"item_type_id":"4","owner":"18","path":["1684224167915","1684224099751"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-05-16"},"publish_date":"2023-05-16","publish_status":"0","recid":"2007502","relation_version_is_last":true,"title":["Polystable Log Calabi-Yau Varieties and Gravitational Instantons"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-05-31T06:45:12.794514+00:00"}