Inverting the Motivic Bott Element |
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Authors: | Marc Levine |
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Affiliation: | (1) Department of Mathematics, Northeastern University, Boston, MA, 02115, U.S.A. |
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Abstract: | We prove a version for motivic cohomology of Thomason's theorem on Bott-periodic K-theory, namely, that for a field k containing the nth roots of unity, the mod n motivic cohomology of a smooth k-scheme agrees with mod n étale cohomology, after inverting the element in H0(k,(1)) corresponding to a primitive nth root of unity. |
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Keywords: | Motivic cohomology é tale cohomology higher Chow groups |
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