Chern classes for singular hypersurfaces
alg-geom
2012-04-10 v1 Algebraic Geometry
Abstract
We prove a simple formula for MacPherson's Chern class of hypersurfaces in nonsingular varieties. The result highlights the relation between MacPherson's class and other definitions of homology Chern classes of singular varieties, such as Mather's Chern class and a class introduced by W. Fulton.
Keywords
Cite
@article{arxiv.alg-geom/9607011,
title = {Chern classes for singular hypersurfaces},
author = {Paolo Aluffi},
journal= {arXiv preprint arXiv:alg-geom/9607011},
year = {2012}
}
Comments
amstex, 39 pages, 2 diagrams (xypic). Also available at http://www.math.fsu.edu/~aluffi/eprint.archive.html