Geodesic
On the uniqueness problem of bivariant Chern classes
Documenta mathematica, Tome 7 (2002), pp. 133-142
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In this paper we show that the bivariant Chern class γ:F→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 τ:Kalg​→HQ​ constructed by Fulton and MacPherson is also unique for morphisms with nonsingular target varieties.
DOI : 10.4171/dm/120
Classification : 14C17, 14F99, 55N35
Mots-clés : bivariant theory, bivariant Chern class, Chern-Schwartz-macpherson class, constructible function 
@article{10_4171_dm_120,
     author = {Shoji Yokura},
     title = {On the uniqueness problem of bivariant {Chern} classes},
     journal = {Documenta mathematica},
     pages = {133--142},
     year = {2002},
     volume = {7},
     doi = {10.4171/dm/120},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/120/}
}
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Shoji Yokura. On the uniqueness problem of bivariant Chern classes. Documenta mathematica, Tome 7 (2002), pp. 133-142. doi: 10.4171/dm/120

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