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http://dx.doi.org/10.4134/BKMS.b160759

INTEGRAL CHOW MOTIVES OF THREEFOLDS WITH K-MOTIVES OF UNIT TYPE  

Gorchinskiy, Sergey (Steklov Mathematical Institute of Russian Academy of Sciences)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.5, 2017 , pp. 1827-1849 More about this Journal
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.
Keywords
K-motives; Chow motives; exceptional collections;
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