Inverting the motivic Bott element, by Marc Levine

We prove a version for motivic cohomology of Thomason's theorem on Bott-periodic K-theory, namely, that for a field k containing the n-th roots of unity, the mod n motivic cohomology of a smooth k-scheme agrees with mod n etale cohomology, after inverting the element in mod n motivic cohomology corresponding to a primitive n-th root of unity.

Marc Levine <>