Chern classes for singular hypersurfaces
alg-geom
2012-04-10 v1 代数几何
摘要
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.
关键词
引用
@article{arxiv.alg-geom/9607011,
title = {Chern classes for singular hypersurfaces},
author = {Paolo Aluffi},
journal= {arXiv preprint arXiv:alg-geom/9607011},
year = {2012}
}
备注
amstex, 39 pages, 2 diagrams (xypic). Also available at http://www.math.fsu.edu/~aluffi/eprint.archive.html