From algebraic cobordism to motivic cohomology
Algebraic Geometry
2015-07-31 v5
Abstract
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.
Keywords
Cite
@article{arxiv.1210.7182,
title = {From algebraic cobordism to motivic cohomology},
author = {Marc Hoyois},
journal= {arXiv preprint arXiv:1210.7182},
year = {2015}
}
Comments
Corrected a mistake in Prop. 8.2. Numbering matches published version