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Slices of motivic Landweber spectra

URN to cite this document:
urn:nbn:de:bvb:355-epub-346517
DOI to cite this document:
10.5283/epub.34651
Spitzweck, Markus
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Date of publication of this fulltext: 30 Sep 2016 08:14



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.


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