{ "id": "math/0407408", "version": "v1", "published": "2004-07-23T17:45:09.000Z", "updated": "2004-07-23T17:45:09.000Z", "title": "Rational functions and real Schubert calculus", "authors": [ "A. Eremenko", "A. Gabrielov", "M. Shapiro", "A. Vainshtein" ], "journal": "Proc. AMS, 134 (2006), no. 4, 949--957", "categories": [ "math.AG", "math.CV" ], "abstract": "We single out some problems of Schubert calculus of subspaces of codimension 2 that have the property that all their solutions are real provided that the data are real. Our arguments explore the connection between subspaces of codimension 2 and rational functions of one variable.", "revisions": [ { "version": "v1", "updated": "2004-07-23T17:45:09.000Z" } ], "analyses": { "subjects": [ "14M15", "14N10", "14P99", "26C15", "30C15" ], "keywords": [ "real schubert calculus", "rational functions", "codimension", "connection" ], "tags": [ "journal article" ], "publication": { "publisher": "AMS", "journal": "Proc. Amer. Math. Soc." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2004math......7408E" } } }