Cobordisme algébrique II

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For any field k of characteristic 0 we prove for algebraic cobordism the analogue of a theorem of Quillen on complex cobordism: the cobordism ring of the ground field is the Lazard ring L and for any smooth k-variety X, the algebraic cobordism ring Ω ∗(X) is generated, as an L-module, by 1∈Ω 0(X) and the element of positive degrees. This implies Rost's conjectured degree formula. We also give a relation between the Chow ring, the K 0 of a smooth k-variety X and Ω ∗(X) .