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Slices of motivic Landweber spectra

Published online by Cambridge University Press:  19 November 2010

Markus Spitzweck
Markus Spitzweck
Affiliation:
Fakultät für Mathematik, Universität Regensburg, Germany, and Mathematical Department, University Oslo, Norway, Markus.Spitzweck@mathematik.uni-regensburg.de, markussp@math.uio.no
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Abstract

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.

Keywords

motivic Landweber spectraslice filtrationalgebraic cobordismspectrum
Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 1 , February 2012 , pp. 103 - 117
Copyright
Copyright © ISOPP 2010

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