A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Algebraic cobordism and Grothendieck groups over singular schemes
2010
Homology, Homotopy and Applications
Preserved Fulltext
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
fatcat:csld6kpyanchlh72s6bejdhdrq