{ "id": "math/0203122", "version": "v1", "published": "2002-03-13T15:01:05.000Z", "updated": "2002-03-13T15:01:05.000Z", "title": "Inclusion-exclusion and Segre classes", "authors": [ "Paolo Aluffi" ], "comment": "8 pages", "journal": "Comm. Algebra 31 (2003), no. 8, 3619-3630", "doi": "10.1081/AGB-120022435", "categories": [ "math.AG" ], "abstract": "We propose a variation of the notion of Segre class, by forcing a naive `inclusion-exclusion' principle to hold. The resulting class is computationally tractable, and is closely related to Chern-Schwartz-MacPherson classes. We deduce several general properties of the new class from this relation, and obtain an expression for the Milnor class of a scheme in terms of this class.", "revisions": [ { "version": "v1", "updated": "2002-03-13T15:01:05.000Z" } ], "analyses": { "subjects": [ "14C17", "14J17", "57R20" ], "keywords": [ "segre classes", "inclusion-exclusion", "chern-schwartz-macpherson classes", "general properties", "milnor class" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......3122A" } } }