Cohomology Operations and Inverting the Motivic Bott Element
نویسنده
چکیده
In this note we explore the relationships between the motivic cohomology operations and the (classical) cohomology operations defined on mod-l étale cohomology. More precisely we show that the cohomology operations on motivic cohomology transform to the (classical) cohomology operations on mod-l étale cohomology upon inverting the motivic Bott element.
منابع مشابه
Inverting the Motivic Bott Element
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 H(k, Z/n(1)) corresponding to a primitive nth root of unity.
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