Geodesic
Algebraic cobordism and Grothendieck groups over singular schemes
Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 93-110.

Voir la notice de l'article provenant de la source International Press of Boston

A theorem of Levine-Morel states that algebraic cobordism groups are isomorphic to (multiplicative) Grothendieck groups over smooth schemes. We extend this theorem to singular schemes. As a consequence, we provide a new proof of the singular Riemann-Roch theorem of Baum-Fulton-MacPherson and a new type of Riemann-Roch theorem with respect to pullbacks of locally complete morphisms.
DOI : 10.4310/HHA.2010.v12.n1.a8
Classification : 14C40, 14Fxx
Keywords: algebraic cobordism, Grothendieck groups, singular schemes 
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     title = {Algebraic cobordism and {Grothendieck} groups over singular schemes},
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     pages = {93--110},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a8/}
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Shouxin Dai. Algebraic cobordism and Grothendieck groups over singular schemes. Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 93-110. doi : 10.4310/HHA.2010.v12.n1.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a8/

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