{ "id": "1405.7761", "version": "v2", "published": "2014-05-30T01:38:26.000Z", "updated": "2015-02-05T16:10:44.000Z", "title": "A congruence modulo four in real Schubert calculus with isotropic flags", "authors": [ "Nickolas Hein", "Frank Sottile", "Igor Zelenko" ], "comment": "9 pages", "categories": [ "math.AG" ], "abstract": "We previously obtained a congruence modulo four for the number of real solutions to many Schubert problems on a square Grassmannian given by osculating flags. Here, we consider Schubert problems given by more general isotropic flags, and prove this congruence modulo four for the largest class of Schubert problems that could be expected to exhibit this congruence.", "revisions": [ { "version": "v1", "updated": "2014-05-30T01:38:26.000Z", "abstract": "We generalize a congruence modulo four for Schubert problems on a Grassmannian given by osculating flags to Schubert problems given by isotropic flags.", "comment": "8 pages", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-02-05T16:10:44.000Z" } ], "analyses": { "subjects": [ "14N15", "14P99" ], "keywords": [ "real schubert calculus", "congruence modulo", "isotropic flags", "schubert problems" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1405.7761H" } } }