%0 Journal Article
%T From algebraic cobordism to motivic cohomology
%A Marc Hoyois
%J Mathematics
%D 2012
%I arXiv
%R 10.1515/crelle-2013-0038
%X Let S be an essentially smooth scheme over a field of characteristic exponent c. Let MGL and HZ denote the algebraic cobordism spectrum and the motivic cohomology spectrum over S, respectively. We show that the canonical map MGL/(a1, a2, ...) -> HZ induced by the additive orientation of motivic cohomology becomes an equivalence after inverting c. As an application, we prove the convergence of the Atiyah-Hirzebruch spectral sequence for all Z[1/c]-local Landweber exact motivic spectra.
%U http://arxiv.org/abs/1210.7182v5