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 From algebraic cobordism to motivic cohomology


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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 Z1-c-local Landweber exact motivic spectra.



Author: Marc Hoyois

Source: https://archive.org/







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