Chern classes for singular hypersurfaces

Details Chern classes for singular hypersurfaces Chern classes for singular hypersurfaces

1996-07-10

arxiv.org/abs/alg-geom/9607011v1

Trans. Amer. Math. Soc. 351 (1999), no. 10, 3989-4026

Mathematics

Algebraic Geometry

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

Scientific paper

10.1090/S0002-9947-99-02256-4

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.

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