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motivic landweber spectra

Journal of K-Theory (1)

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Slices of motivic Landweber spectra
Markus Spitzweck
Journal:

Journal of K-Theory / Volume 9 / Issue 1 / February 2012

Published online by Cambridge University Press:

19 November 2010, pp. 103-117

Print publication:

February 2012
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In this paper we show that a conjecture of Voevodsky about the slices of the motivic cobordism spectrum implies a statement about the slices of motivic Landweber spectra. Over perfect fields these slices are given by the coefficients of the corresponding topological Landweber spectrum and the motivic Eilenberg MacLane spectrum. We also prove a cohomological version of Landweber exactness which applies to the compact objects of the stable motivic homotopy category.