WEKO3
アイテム
{"_buckets": {"deposit": "71cf47d0-045b-4458-9a8b-843eb3b9926b"}, "_deposit": {"id": "39983", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "39983"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00039983", "sets": ["6884", "6886"]}, "item_4_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2014-12-11", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "219", "bibliographicPageStart": "153", "bibliographicVolumeNumber": "21", "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": "In the present paper, we discuss Grothendieck’s anabelian conjecture for hyperbolic polycurves, i.e., successive extensions of families of hyperbolic curves. One of the consequences obtained in the present paper is that the isomorphism class of a hyperbolic polycurve of dimension less than or equal to four over a sub-p-adic field is completely determined by its étale fundamental group (i.e., which we regard as being equipped with the natural outer surjection of the étale fundamental group onto a fixed copy of the absolute Galois group of the base field). We also verify the finiteness of certain sets of outer isomorphisms between the étale fundamental groups of hyperbolic polycurves of arbitrary dimension.", "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": "14H30(MSC2010)"}, {"subitem_text_value": "14H10(MSC2010)"}, {"subitem_text_value": "14H25(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "原稿受領日", "attribute_value_mlt": [{"subitem_text_value": "2012-11-08"}]}, "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": "Research Institute for Mathematical Sciences, Kyoto University"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Hoshi, Yuichiro"}], "nameIdentifiers": [{"nameIdentifier": "92401", "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": "jms210201.pdf", "filesize": [{"value": "368.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 368700.0, "url": {"label": "jms210201.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/39983/files/jms210201.pdf"}, "version_id": "0f38f6fb-78b1-438f-9ffb-bdb2a0f8cf09"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Grothendieck conjecture", "subitem_subject_scheme": "Other"}, {"subitem_subject": "hyperbolic polycurve", "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": "The Grothendieck Conjecture for Hyperbolic Polycurves of Lower Dimension", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "The Grothendieck Conjecture for Hyperbolic Polycurves of Lower Dimension"}]}, "item_type_id": "4", "owner": "1", "path": ["6884", "6886"], "permalink_uri": "http://hdl.handle.net/2261/59055", "pubdate": {"attribute_name": "公開日", "attribute_value": "2015-12-15"}, "publish_date": "2015-12-15", "publish_status": "0", "recid": "39983", "relation": {}, "relation_version_is_last": true, "title": ["The Grothendieck Conjecture for Hyperbolic Polycurves of Lower Dimension"], "weko_shared_id": null}
The Grothendieck Conjecture for Hyperbolic Polycurves of Lower Dimension
http://hdl.handle.net/2261/59055
http://hdl.handle.net/2261/59055dc67f87c-9832-4cb5-ba02-2a1590da6c75
名前 / ファイル | ライセンス | アクション |
---|---|---|
jms210201.pdf (368.7 kB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2015-12-15 | |||||
タイトル | ||||||
タイトル | The Grothendieck Conjecture for Hyperbolic Polycurves of Lower Dimension | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Grothendieck conjecture | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | hyperbolic polycurve | |||||
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 |
Hoshi, Yuichiro
× Hoshi, Yuichiro |
|||||
著者所属 | ||||||
著者所属 | Research Institute for Mathematical Sciences, Kyoto University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In the present paper, we discuss Grothendieck’s anabelian conjecture for hyperbolic polycurves, i.e., successive extensions of families of hyperbolic curves. One of the consequences obtained in the present paper is that the isomorphism class of a hyperbolic polycurve of dimension less than or equal to four over a sub-p-adic field is completely determined by its étale fundamental group (i.e., which we regard as being equipped with the natural outer surjection of the étale fundamental group onto a fixed copy of the absolute Galois group of the base field). We also verify the finiteness of certain sets of outer isomorphisms between the étale fundamental groups of hyperbolic polycurves of arbitrary dimension. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 21, 号 2, p. 153-219, 発行日 2014-12-11 |
|||||
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 | ||||||
14H30(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14H10(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14H25(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2012-11-08 |