Algebraic cobordism and Grothendieck groups over singular schemes
Algebraic cobordism and Grothendieck groups over singular schemes
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 …