{"_buckets": {"deposit": "28cc8130-1d93-469d-a75b-90a1c7ed4b46"}, "_deposit": {"id": "40268", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "40268"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00040268"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1998", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "4", "bibliographicPageEnd": "725", "bibliographicPageStart": "713", "bibliographicVolumeNumber": "5", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_13": {"attribute_name": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "We state a general criterion for existence of analytic discs attached to conormal bundles of CR manifolds. In particular let $S$ be a CR (non--generic) submanifold of $X=\\C^n$ and $E^*$ a CR subbundle of the complex conormal bundle $T^*_SX\\cap\\im T^*_SX$ such that $E^*+\\sqrt{-1}E^*=T^*_SX\\cap\\sqrt{-1}T^*_SX$ (where sum and multiplication by $\\sqrt{-1}$ are understood in the sense of the fibers). We then show that for any small disc $A$ attached to $S$ through $z_o$ , and for any point $p_o\\in (E^*)_{z_o}$, there is an analytic lift $A^*$ attached to $E^*$ through $p_o$. In particular we regain the theorem by Trepreau and Tumanov \\cite{T 3} on existence of lifts for discs attached to non--minimal manifolds. Our criterion also applies to discs attached to manifolds with a constant number of negative Levi--eigenvalues. We finally state the uniqueness of small discs attached to (non--necessarily CR) manifolds $M$ through a given point $z_o$ and with prescribed components in $T^\\C_{z_o}M$. This is a slight, but perhaps interesting, generalization of the classical result (often used all through this paper), on uniqueness of lifts of small discs attached to generic manifolds.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "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": "MR1675244"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "32F(MSC1991)"}]}, "item_4_text_33": {"attribute_name": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "1997-04-17"}]}, "item_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Baracco, Luca"}], "nameIdentifiers": [{"nameIdentifier": "138865", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-27"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms050404.pdf", "filesize": [{"value": "147.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 147000.0, "url": {"label": "jms050404.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/40268/files/jms050404.pdf"}, "version_id": "8803ee33-d8c5-4e56-9ede-f099b5cf1f79"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Lifts of Analytic Discs from $X$ to $T^*X$", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Lifts of Analytic Discs from $X$ to $T^*X$"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/7037/7038", "9/504/6868/7039/7040"], "permalink_uri": "http://hdl.handle.net/2261/1327", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2008-03-04"}, "publish_date": "2008-03-04", "publish_status": "0", "recid": "40268", "relation": {}, "relation_version_is_last": true, "title": ["Lifts of Analytic Discs from $X$ to $T^*X$"], "weko_shared_id": null}