  Let X be a separated scheme of finite type over an algebraically closed field
k and let m be a natural number. By an explicit geometric construction using
torsors we construct a pairing between the first mod m Suslin homology and the
first mod m tame etale cohomology of X. We show that the induced homomorphism
from the mod m Suslin homology to the abelianized tame fundamental group of X
mod m is surjective. It is an isomorphism of finite abelian groups if (m,
char(k)) = 1, and for general m if resolution of singularities holds over k.
