Geodesic
Motivic Landweber exactness
Documenta mathematica, Tome 14 (2009), pp. 551-593
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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.
DOI : 10.4171/dm/282
Classification : 14A20, 14F42, 19E08, 55N22, 55P42
Mots-clés : contents 
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     title = {Motivic {Landweber} exactness},
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Niko Naumann; Markus Spitzweck; Paul Arne Østvær. Motivic Landweber exactness. Documenta mathematica, Tome 14 (2009), pp. 551-593. doi: 10.4171/dm/282

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