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Kimura-finiteness of quadric fibrations over smooth curves

Published 5 Dec 2016 in math.AG, math.AT, and math.KT | (1612.01515v1)

Abstract: In this short note, making use of the recent theory of noncommutative mixed motives, we prove that the Voevodsky's mixed motive of a quadric fibration over a smooth curve is Kimura-finite.

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