{"_buckets": {"deposit": "68bf06da-47a6-4fe9-8501-ac7fd7b34ffe"}, "_deposit": {"id": "54885", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "54885"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00054885"}, "item_4_biblio_info_7": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2019-12-20", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "334", "bibliographicPageStart": "249", "bibliographicVolumeNumber": "26", "bibliographic_titles": [{"bibliographic_title": "Journal of Mathematical Sciences The University of Tokyo"}]}]}, "item_4_description_5": {"attribute_name": "\u6284\u9332", "attribute_value_mlt": [{"subitem_description": "In this paper, we formulate axioms of certain graded cohomology theory and define higher Chern class maps following the method of Gillet [Gi1]. We will not include homotopy invariance nor purity in our axioms. It will turn out that the Riemann-Roch theorem without denominators holds for our higher Chern classes. We will give two applications of our Riemann-Roch results in $\\S\\S11-13$.", "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_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "14C40(MSC2010)"}, {"subitem_text_value": "19E20(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "\u539f\u7a3f\u53d7\u9818\u65e5", "attribute_value_mlt": [{"subitem_text_value": "2015-09-15"}]}, "item_4_text_4": {"attribute_name": "\u8457\u8005\u6240\u5c5e", "attribute_value_mlt": [{"subitem_text_value": "Department of Mathematics, Hokkaido University"}, {"subitem_text_value": "Department of Mathematics, Chuo University"}, {"subitem_text_value": "Mathematical Science Team, RIKEN Center for Advanced Intelligence Project (AIP)"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Asakura  Masanori"}], "nameIdentifiers": [{"nameIdentifier": "163303", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Sato, Kanetomo"}], "nameIdentifiers": [{"nameIdentifier": "163304", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Hagihara, Kei"}], "nameIdentifiers": [{"nameIdentifier": "163305", "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": "2020-12-22"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms260301.pdf", "filesize": [{"value": "657.3 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 657300.0, "url": {"label": "jms260301.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/54885/files/jms260301.pdf"}, "version_id": "0a263f78-9d1b-4d3b-a52a-5327738fb6ea"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": " $K$-theory", "subitem_subject_scheme": "Other"}, {"subitem_subject": "cohomology theory", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Chern class", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Riemann-Roch theorem", "subitem_subject_scheme": "Other"}]}, "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": "Chern Class and Riemann-Roch Theorem for Cohomology Theory without Homotopy Invariance", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Chern Class and Riemann-Roch Theorem for Cohomology Theory without Homotopy Invariance"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/8351/8518", "9/504/6868/8353/8519"], "permalink_uri": "http://hdl.handle.net/2261/00080001", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2020-12-22"}, "publish_date": "2020-12-22", "publish_status": "0", "recid": "54885", "relation": {}, "relation_version_is_last": true, "title": ["Chern Class and Riemann-Roch Theorem for Cohomology Theory without Homotopy Invariance"], "weko_shared_id": null}