In mathematics, the Suslin homology is a homology theory attached to algebraic varieties. It was proposed by Suslin in 1987, and developed by . It is sometimes called singular homology as it is analogous to the singular homology of topological spaces.
By definition, given an abelian group A and a scheme X of finite type over a field k, the theory is given by
Hi(X,A)=
Z(C, | |
\operatorname{Tor} | |
i |
A)
\trianglen x X
\trianglen
\trianglen