{ "id": "1204.3778", "version": "v3", "published": "2012-04-17T12:21:26.000Z", "updated": "2012-08-02T14:08:39.000Z", "title": "Singularities of convex improper affine maps", "authors": [ "Marcos Craizer" ], "comment": "11 pages, 2 figures", "categories": [ "math.DG" ], "abstract": "In this paper we consider convex improper affine maps of the 3-dimensional affine space and classify their singularities. The main tool developed is a generating family with properties that closely resembles the area function for non-convex improper affine maps.", "revisions": [ { "version": "v3", "updated": "2012-08-02T14:08:39.000Z" } ], "analyses": { "subjects": [ "53A15" ], "keywords": [ "singularities", "non-convex improper affine maps", "affine space", "main tool", "area function" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1204.3778C" } } }