Chern classes for singular hypersurfaces

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.

amstex, 39 pages, 2 diagrams (xypic). Also available at http://www.math.fsu.edu/~aluffi/eprint.archive.html

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