WEKO3
アイテム
{"_buckets": {"deposit": "3883e78c-2776-46f4-a23d-b50e80a1a6d9"}, "_deposit": {"id": "40042", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40042"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040042", "sets": ["6915", "6916"]}, "item_4_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2011-12-09", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "191", "bibliographicPageStart": "181", "bibliographicVolumeNumber": "18", "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": "We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says that a parabolic vector bundle E* with rational parabolic weights is semistable if and only if there is another parabolic vector bundle F* with rational parabolic weights such that the cohomologies of the vector bundle underlying the parabolic tensor product E* ⊗ F* vanish. This criterion generalizes the known semistability criterion of Faltings for vector bundles on curves and significantly improves the result in [Bis07].", "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": "MR"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "14F05(MSC2010)"}, {"subitem_text_value": "14H60(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "原稿受領日", "attribute_value_mlt": [{"subitem_text_value": "2011-03-07"}]}, "item_4_text_34": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "著者所属", "attribute_value_mlt": [{"subitem_text_value": "School of Mathematics, Tata Institute of Fundamental Research"}, {"subitem_text_value": "Department of Mathematics, University of Western Ontario"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Biswas, Indranil"}], "nameIdentifiers": [{"nameIdentifier": "92490", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Dhillon, Ajneet"}], "nameIdentifiers": [{"nameIdentifier": "92491", "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": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms180203.pdf", "filesize": [{"value": "132.8 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 132800.0, "url": {"label": "jms180203.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40042/files/jms180203.pdf"}, "version_id": "1fdef8e8-e5ee-4f84-9efb-dac57e80a491"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Parabolic bundle", "subitem_subject_scheme": "Other"}, {"subitem_subject": "root stack", "subitem_subject_scheme": "Other"}, {"subitem_subject": "semistability", "subitem_subject_scheme": "Other"}, {"subitem_subject": "cohomology", "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": "Semistability Criterion for Parabolic Vector Bundles on Curves", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Semistability Criterion for Parabolic Vector Bundles on Curves"}]}, "item_type_id": "4", "owner": "1", "path": ["6915", "6916"], "permalink_uri": "http://hdl.handle.net/2261/52705", "pubdate": {"attribute_name": "公開日", "attribute_value": "2012-12-12"}, "publish_date": "2012-12-12", "publish_status": "0", "recid": "40042", "relation": {}, "relation_version_is_last": true, "title": ["Semistability Criterion for Parabolic Vector Bundles on Curves"], "weko_shared_id": null}
Semistability Criterion for Parabolic Vector Bundles on Curves
http://hdl.handle.net/2261/52705
http://hdl.handle.net/2261/52705137bfa25-877f-4ed2-9214-fe419a439cea
名前 / ファイル | ライセンス | アクション |
---|---|---|
jms180203.pdf (132.8 kB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2012-12-12 | |||||
タイトル | ||||||
タイトル | Semistability Criterion for Parabolic Vector Bundles on Curves | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Parabolic bundle | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | root stack | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | semistability | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | cohomology | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Biswas, Indranil
× Biswas, Indranil× Dhillon, Ajneet |
|||||
著者所属 | ||||||
著者所属 | School of Mathematics, Tata Institute of Fundamental Research | |||||
著者所属 | ||||||
著者所属 | Department of Mathematics, University of Western Ontario | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We give a cohomological criterion for a parabolic vector bundle on a curve to be semistable. It says that a parabolic vector bundle E* with rational parabolic weights is semistable if and only if there is another parabolic vector bundle F* with rational parabolic weights such that the cohomologies of the vector bundle underlying the parabolic tensor product E* ⊗ F* vanish. This criterion generalizes the known semistability criterion of Faltings for vector bundles on curves and significantly improves the result in [Bis07]. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 18, 号 2, p. 181-191, 発行日 2011-12-09 |
|||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
14F05(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14H60(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2011-03-07 |