On Suslin homology with integral coefficients in characteristic zero

Xiaowen Hu

Published 2019-02-03Version 1

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 th morphisms of schemes.