WEKO3
アイテム
{"_buckets": {"deposit": "5ed2b0a0-3541-437f-9c1c-39e3cb385a2b"}, "_deposit": {"id": "39961", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "39961"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00039961", "sets": ["6877", "6878"]}, "item_4_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2015-07-15", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "875", "bibliographicPageStart": "793", "bibliographicVolumeNumber": "22", "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": "Given a smooth scheme over Z/pnZ with a lift of relative Frobenius to Z/pn+1Z, we construct a functor from the category of Higgs modules to that of modules with integrable connection as the composite of the level raising inverse image functors from the category of modules with integrable pm-connection to that of modules with integrable pm−1-connection for 1 ≤ m ≤ n. In the case m = 1, we prove that the level raising inverse image functor is an equivalence when restricted to quasi-nilpotent objects, which generalizes a local result of Ogus-Vologodsky. We also prove that the above level raising inverse image functor for a smooth p-adic formal scheme induces an equivalence of Q-linearized categories for general m when restricted to nilpotent objects (in strong sense), under a strong condition on Frobenius lift. We also prove a similar result for the category of modules with integrable pm-Witt-connection.", "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": "12H25(MSC2010)"}, {"subitem_text_value": "14F30(MSC2010)"}, {"subitem_text_value": "14F40(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "原稿受領日", "attribute_value_mlt": [{"subitem_text_value": "2014-06-25"}]}, "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": "Graduate School of Mathematical Sciences, University of Tokyo"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Shiho, Atsushi"}], "nameIdentifiers": [{"nameIdentifier": "92371", "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": "jms220306.pdf", "filesize": [{"value": "512.8 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 512799.99999999994, "url": {"label": "jms220306.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/39961/files/jms220306.pdf"}, "version_id": "70dccdb9-b98f-4096-a5d9-5b47b11717f8"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Module with connection", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Higgs module", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Frobenius descent", "subitem_subject_scheme": "Other"}, {"subitem_subject": "de Rham comohology", "subitem_subject_scheme": "Other"}, {"subitem_subject": "module with Witt-connection", "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": "Notes on Generalizations of Local Ogus-Vologodsky Correspondence", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Notes on Generalizations of Local Ogus-Vologodsky Correspondence"}]}, "item_type_id": "4", "owner": "1", "path": ["6877", "6878"], "permalink_uri": "http://hdl.handle.net/2261/59549", "pubdate": {"attribute_name": "公開日", "attribute_value": "2016-07-19"}, "publish_date": "2016-07-19", "publish_status": "0", "recid": "39961", "relation": {}, "relation_version_is_last": true, "title": ["Notes on Generalizations of Local Ogus-Vologodsky Correspondence"], "weko_shared_id": null}
Notes on Generalizations of Local Ogus-Vologodsky Correspondence
http://hdl.handle.net/2261/59549
http://hdl.handle.net/2261/5954973357aa5-e2a8-428a-860c-fa17a26dcc81
名前 / ファイル | ライセンス | アクション |
---|---|---|
jms220306.pdf (512.8 kB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2016-07-19 | |||||
タイトル | ||||||
タイトル | Notes on Generalizations of Local Ogus-Vologodsky Correspondence | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Module with connection | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Higgs module | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Frobenius descent | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | de Rham comohology | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | module with Witt-connection | |||||
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 |
Shiho, Atsushi
× Shiho, Atsushi |
|||||
著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Given a smooth scheme over Z/pnZ with a lift of relative Frobenius to Z/pn+1Z, we construct a functor from the category of Higgs modules to that of modules with integrable connection as the composite of the level raising inverse image functors from the category of modules with integrable pm-connection to that of modules with integrable pm−1-connection for 1 ≤ m ≤ n. In the case m = 1, we prove that the level raising inverse image functor is an equivalence when restricted to quasi-nilpotent objects, which generalizes a local result of Ogus-Vologodsky. We also prove that the above level raising inverse image functor for a smooth p-adic formal scheme induces an equivalence of Q-linearized categories for general m when restricted to nilpotent objects (in strong sense), under a strong condition on Frobenius lift. We also prove a similar result for the category of modules with integrable pm-Witt-connection. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 22, 号 3, p. 793-875, 発行日 2015-07-15 |
|||||
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 | ||||||
12H25(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14F30(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14F40(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2014-06-25 |