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Chern classes for singular hypersurfaces
Author(s):
Paolo
Aluffi
Journal:
Trans. Amer. Math. Soc.
351
(1999),
3989-4026.
MSC (1991):
Primary 14C17, 32S60
Posted:
February 8, 1999
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Abstract:
We prove a formula expressing the Chern-Schwartz-MacPherson class of a hypersurface in a nonsingular variety as a variation on another definition of the homology Chern class of singular varieties, introduced by W. Fulton; and we discuss the relation between these classes and others, such as Mather's Chern class and the  -class we introduced in previous work.
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Additional Information:
Paolo
Aluffi
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306
Email:
aluffi@math.fsu.edu
DOI:
10.1090/S0002-9947-99-02256-4
PII:
S 0002-9947(99)02256-4
Received by editor(s):
June 3, 1997
Posted:
February 8, 1999
Additional Notes:
Supported in part by NSF grant DMS-9500843
Copyright of article:
Copyright
1999,
American Mathematical Society
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