{"created":"2021-03-01T06:59:47.648811+00:00","id":40204,"links":{},"metadata":{"_buckets":{"deposit":"57188bfc-1626-430c-8f96-4c27883a70c5"},"_deposit":{"id":"40204","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40204"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040204","sets":["312:6865:7007:7013","9:504:6868:7009:7014"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2001","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"199","bibliographicPageStart":"177","bibliographicVolumeNumber":"8","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The cohomology of the local system on the complement of hyperplanes has a Hodge structure as the $α$-invariant cohomology of a Kummer covering ramified along their hyperplanes for a generic character $α$. In this paper we study the case of arrangements of hyperplanes in the three dimensional complex projective space. We construct a resolution for an arrangement of hyperplanes and compute its Chow group. By computing the first Chern class of logarithmic 1-forms, we can obtain the Euler characteristic and the Hodge numbers of cohomology of local systems using the intersection set of the arrangement of hyperplanes and binomial coefficients.","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":"MR1837160"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"14E22(MSC1991)"},{"subitem_text_value":"52B30(MSC1991)"},{"subitem_text_value":"14C30(MSC1991)"},{"subitem_text_value":"14E20(MSC1991)"},{"subitem_text_value":"14J30(MSC1991)"},{"subitem_text_value":"58A14(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2000-03-02"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kawahara, Yukihito"}],"nameIdentifiers":[{"nameIdentifier":"138798","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":"2017-06-27"}],"displaytype":"detail","filename":"jms080201.pdf","filesize":[{"value":"182.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms080201.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40204/files/jms080201.pdf"},"version_id":"1153bdf2-275d-435a-85a9-796d2a2c3528"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Hodge structure","subitem_subject_scheme":"Other"},{"subitem_subject":"cohomology of local system","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":"Hodge Number of Cohomology of Local Systems on the Complement of Hyperplanes in $\\Bbb P^3$","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Hodge Number of Cohomology of Local Systems on the Complement of Hyperplanes in $\\Bbb P^3$"}]},"item_type_id":"4","owner":"1","path":["7013","7014"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40204","relation_version_is_last":true,"title":["Hodge Number of Cohomology of Local Systems on the Complement of Hyperplanes in $\\Bbb P^3$"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:24.257583+00:00"}