Cycles, Transfers And Motivic Homology Theories

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Reduced power operations in motivic cohomology (2001, background): “The following result is proved in [16].”
On the derived category of 1-motives, I (2007, background): “Since k is algebraically closed, and n ≥ dimZ, H i Nis(Z,Q/Z(n)) ≃ H i ét(Z,Q/Z(n)) by Suslin’s theorem [58] and the vanishing follows from the known bound for étale cohomological dimension.”
Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P1 - {0,1, ∞} (2003, methodology): “Notably one should mention that Goncharov [10] has used the work of Voevodsky [37] and Levine [20] to construct the category of mixed Tate motives over the spectrum of a number field.”
Galois equivariance and stable motivic homotopy theory (2014, background): “Its stable version plays an essential role in the theory of motives and motivic cohomology [53].”
Cancellation theorem (2002, background): “One defines the sheaf with transfers S1t by the condition that Ztr(Gm) = S 1 t ⊕ Z where Z is split off by the projection to the point and the point 1.”