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arXiv · 1703.06977

Integral Chow motives of threefolds with $K$-motives of unit type

Sergey Gorchinskiy
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Abstract

We prove that if a smooth projective algebraic variety of dimension less or equal to three has a unit type integral $K$-motive, then its integral Chow motive is of Lefschetz type. As a consequence, the integral Chow motive is of Lefschetz type for a smooth projective variety of dimension less or equal to three that admits a full exceptional collection.

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Sergey Gorchinskiy. 2017-03-20. Integral Chow motives of threefolds with $K$-motives of unit type. https://arxiv.org/abs/1703.06977

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