Geodesic
On the uniqueness problem of bivariant Chern classes
Documenta mathematica, Tome 7 (2002), pp. 133-142.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we show that the bivariant Chern class $\gamma: {\Bbb F} \to {\Bbb H}$ for morphisms from possibly singular varieties to nonsingular varieties are uniquely determined, which therefore implies that the Brasselet bivariant Chern class is unique for cellular morphisms with nonsingular target varieties. Similarly we can see that the Grothendieck transformation $\tau : {\Bbb K}_{alg} \to {\Bbb H}_{\Bbb Q}$ constructed by Fulton and MacPherson is also unique for morphisms with nonsingular target varieties.
Classification : 14C17, 14F99, 55N35
Keywords: bivariant theory, bivariant Chern class, Chern-Schwartz-macpherson class, constructible function 
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     author = {Yokura, Shoji},
     title = {On the uniqueness problem of bivariant {Chern} classes},
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Yokura, Shoji. On the uniqueness problem of bivariant Chern classes. Documenta mathematica, Tome 7 (2002), pp. 133-142. http://geodesic.mathdoc.fr/item/DOCMA_2002__7__a14/