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Abstract
Let S be an essentially smooth scheme over a field of characteristic exponent c. We prove that there is a canonical equivalence of motivic spectra over S MGL/(a1,a2,...)[1/c] ≃ Hℤ[1/c] where Hℤ is the motivic cohomology spectrum, MGL is the algebraic cobordism spectrum, and the elements an are generators of the Lazard ring. We discuss several applications including the computation of the slices of ℤ[1/c]-local Landweber exact motivic spectra and the convergence of the associated slice spectral sequences.
I am very grateful to Paul Arne Østvær and Markus Spitzweck for pointing out a mistake in the proof of the main theorem in a preliminary version of this text, and to Paul Goerss for many helpful discussions.
Received: 2012-11-3
Revised: 2013-4-3
Published Online: 2013-6-22
Published in Print: 2015-5-1
© 2015 by De Gruyter
