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The motive of the Fano surface of lines

Published 20 Feb 2016 in math.AG | (1602.06403v1)

Abstract: The purpose of this note is to prove that the Chow motive of the Fano surface of lines on the smooth cubic threefold is finite-dimensional in the sense of Kimura. This gives an example of a smooth projective variety that is not dominated by a product of curves but whose Chow motive is of Abelian type.

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