Geodesic
Motivic Landweber exactness
Documenta mathematica, Tome 14 (2009), pp. 551-593.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove a motivic Landweber exact functor theorem. The main result shows the assignment given by a Landweber-type formula involving the $\MGL$-homology of a motivic spectrum defines a homology theory on the motivic stable homotopy category which is representable by a Tate spectrum. Using a universal coefficient spectral sequence we deduce formulas for operations of certain motivic Landweber exact spectra including homotopy algebraic $K$-theory. Finally we employ a Chern character between motivic spectra in order to compute rational algebraic cobordism groups over fields in terms of rational motivic cohomology groups and the Lazard ring.
Classification : 55N22, 55P42, 14A20, 14F42, 19E08
Keywords: contents 
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     title = {Motivic {Landweber} exactness},
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Naumann, Niko; Spitzweck, Markus. Motivic Landweber exactness. Documenta mathematica, Tome 14 (2009), pp. 551-593. http://geodesic.mathdoc.fr/item/DOCMA_2009__14__a8/