We prove that the Voevodsky motive with Z-coefficients (resp. Q-coefficients) of a Z-acylic (resp. Q-acyclic) smooth complex variety of dimension ≤ 2 is isomorphic to that of a point and discuss some related extensions.
Homology, Homotopy and Applications, Vol. 13 (2011), No. 2, pp.329-335.