{"_buckets": {"deposit": "22869cca-5d12-4b14-9cb4-c8384d053ec2"}, "_deposit": {"id": "2005424", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "2005424"}, "status": "published"}, "_oai": {"id": "oai:u-ryukyu.repo.nii.ac.jp:02005424", "sets": ["1642837634845", "1642838406414"]}, "author_link": [], "item_1617186331708": {"attribute_name": "Title", "attribute_value_mlt": [{"subitem_1551255647225": "The varieties of subspaces stable under a nilpotent transformation", "subitem_1551255648112": "en"}]}, "item_1617186419668": {"attribute_name": "Creator", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Maeda, Takashi", "creatorNameLang": "en"}]}, {"creatorNames": [{"creatorName": "\u524d\u7530, \u9ad8\u58eb", "creatorNameLang": "ja"}]}]}, "item_1617186476635": {"attribute_name": "Access Rights", "attribute_value_mlt": [{"subitem_1522299639480": "open access", "subitem_1600958577026": "http://purl.org/coar/access_right/c_abf2"}]}, "item_1617186626617": {"attribute_name": "Description", "attribute_value_mlt": [{"subitem_description": "Let f : V \u2192 V be a nilpotent linear transformation of a vector space V of type V = \u03bb, i.e. the size of Jordan blocks \u03bb_1 \u2265 \u03bb_2 \u2265 \uff65\uff65\uff65 \u2265 \u03bb_1. For an f-stable subspace W of V, i.e. f(W) \u2282 W, the types of W and V/W are those of the maps f|w : W \u2192 W and fv/w : V/W \u2192 V/W induced by f, respectively. For partitions \u03bdand \u03bc we investigate the set S(\u03bb, \u03bd, \u03bc) = {W \u2282 V; f(W) \u2282 W, type W = \u03bd, type V/W = \u03bc} and the singular locus of the Zariski closure X(\u03bb, \u03bd, \u03bc) of S(\u03bb, \u03bd, \u03bc) in the grassmaniann of subspaces of V of dimension |\u03bd|. We show that S(\u03bb, \u03bd, \u03bc) is nonsingular and its connected components are rational varieties (Th.A) ; generic vectors are introduced (Def.18), which define the generic points of the irreducible components of X(\u03bb, \u03bd, \u03bc) whose Pl\u00fccker coordinates are fairly simple to express their defining equations. We describe explicitly the coordinate ring of an affine openset of X(\u03bb, \u03bd, \u03bc) with the singular locus of codimension two (Prop.C).", "subitem_description_type": "Other"}, {"subitem_description": "\u7d00\u8981\u8ad6\u6587", "subitem_description_type": "Other"}]}, "item_1617186643794": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_1522300295150": "en", "subitem_1522300316516": "Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus"}]}, "item_1617186702042": {"attribute_name": "Language", "attribute_value_mlt": [{"subitem_1551255818386": "eng"}]}, "item_1617186783814": {"attribute_name": "Identifier", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/20.500.12000/16127"}]}, "item_1617186920753": {"attribute_name": "Source Identifier", "attribute_value_mlt": [{"subitem_1522646500366": "ISSN", "subitem_1522646572813": "1344-008X"}, {"subitem_1522646500366": "NCID", "subitem_1522646572813": "AA10779580"}]}, "item_1617186941041": {"attribute_name": "Source Title", "attribute_value_mlt": [{"subitem_1522650068558": "en", "subitem_1522650091861": "Ryukyu mathematical journal"}]}, "item_1617187056579": {"attribute_name": "Bibliographic Information", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2003-12-30", "bibliographicIssueDateType": "Issued"}, "bibliographicPageEnd": "71", "bibliographicPageStart": "43", "bibliographicVolumeNumber": "16"}]}, "item_1617258105262": {"attribute_name": "Resource Type", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_1617265215918": {"attribute_name": "Version Type", "attribute_value_mlt": [{"subitem_1522305645492": "VoR", "subitem_1600292170262": "http://purl.org/coar/version/c_970fb48d4fbd8a85"}]}, "item_1617605131499": {"attribute_name": "File", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "download_preview_message": "", "file_order": 0, "filename": "Vol16p043.pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 0, "url": {"objectType": "fulltext", "url": "https://u-ryukyu.repo.nii.ac.jp/record/2005424/files/Vol16p043.pdf"}, "version_id": "64022b7e-26e8-448f-847a-ccf4a2c36722"}]}, "item_title": "The varieties of subspaces stable under a nilpotent transformation", "item_type_id": "15", "owner": "1", "path": ["1642837634845", "1642838406414"], "permalink_uri": "http://hdl.handle.net/20.500.12000/16127", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2010-03-05"}, "publish_date": "2010-03-05", "publish_status": "0", "recid": "2005424", "relation": {}, "relation_version_is_last": true, "title": ["The varieties of subspaces stable under a nilpotent transformation"], "weko_shared_id": -1}