Motives and etale motives with finite coefficients , by Christian Haesemeyer and Jens Hornbostel

This is a corrected version of 0678, which contained a mistake in the definition of etale geometric motives (as a consequence, Theorem 2.15 of that paper is wrong). The main result remains unchanged. Namely, we prove that Voevodsky's category of motives with finite coefficients becomes equivalent to the derived category of etale sheaves after localization at the Bott elements.

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