{ "id": "0907.1049", "version": "v4", "published": "2009-07-06T17:05:54.000Z", "updated": "2013-04-23T20:46:09.000Z", "title": "Closures of K-orbits in the flag variety for SU*(2n)", "authors": [ "William M. McGovern" ], "comment": "5 pages", "categories": [ "math.RT", "math.AG" ], "abstract": "We characterize the Sp_{2n} orbits in the flag variety for SL_{2n} with rationally smooth closure via a pattern avoidance criterion, also showing that the singular and rationally singular loci of such orbit closures coincide.", "revisions": [ { "version": "v4", "updated": "2013-04-23T20:46:09.000Z" } ], "analyses": { "subjects": [ "22E46" ], "keywords": [ "flag variety", "orbit closures coincide", "pattern avoidance criterion", "rationally smooth closure", "rationally singular loci" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0907.1049M" } } }