Integral Chow motives of threefolds with $K$-motives of unit type
Bull. Korean Math. Soc. 2017 Vol. 54, No. 5, 1827-1849 https://doi.org/10.4134/BKMS.b160759 Published online July 26, 2017 Printed September 30, 2017
Sergey Gorchinskiy Steklov Mathematical Institute of Russian Academy of Sciences
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.
