Title: Differential forms with logarithmic poles and Chern-Schwartz-MacPherson classes of singular varieties
Abstract: We express the Chern-Schwartz-MacPherson class of a possibly singular variety in terms of the total Chern class of a bundle of differential forms with logarithmic poles. As an application, we obtain a formula for the Chern-Schwartz-MacPherson class of a hypersurface of a nonsingular variety, in terms of the Chern-Mather class of a suitable sheaf. On donne une expression des classes de Chern-Schwartz-MacPherson d'une variété algébrique (éventuellement singulière) en termes de la classe de Chern totale d'un fibre de formes différentielles à pôles logarithmiques. Comme application, on obtient une formule pour la classe de Chern-Schwartz-MacPherson d'une hypersurface d'une variété non singulière, en termes de la classe de Chern-Mather d'un faisceau convenable.
Publication Year: 1999
Publication Date: 1999-10-01
Language: fr
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 27
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot