### Correspondence Homomorphisms for Singular Varieties, by Eric M. Friedlander and Barry Mazur

An effective Chow correspondence $f: X \to C_{r,d}(Y)$ of relative
dimension $r$ relating complex projective varieties $X, Y$ determines a
cycle in the product $X\times Y$. The authors investigate the induced Chow
correspondence homomorphism $f_*: H_*(X) \to H_{*+2r}(Y)$. This
extends to singular varieties $X$ a familiar construction in classical
algebraic geometry. The authors suggest that $f_*$ can be considered
as a characteristic class for the family of cycles over $X$ associated
to $f$. The constructions presented in this paper enable the authors
to extend to singular varieties their earlier results on filtations in
homology associated to Lawson homology; indeed, earlier results are
further strengtened in that conclusions are obtained for integer (rather
than rational) coefficients.

Eric M. Friedlander <eric@math.nwu.edu>

Barry Mazur <mazur@huma1.bitnet>