  We show that the Suslin homology group with integral coefficients of a scheme
$X$ separated of finite type over an algebraically closed field of
characteristic 0 is a direct sum of a uniquely divisible group, finite copies
of $\mathbb{Q}/\mathbb{Z}$, and a finitely generated group. We also study the
possible type of homomorphisms between such groups induced by the morphisms of
schemes. An appendix written by Bruno Kahn is included, which simplifies the
proofs and generalizes the results.
