2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115097Let $k$ be a field of arbitrary characteristic. Let $S$ be a singular surface defined over $k$ with multiple rational curve singularities and suppose that the Chow group of zero cycles of its normalisation $\tilde{S}$ is finite dimensional. We give numerical conditions under which the Chow group of zero cycles of $S$ is finite dimensional.14 pagesAlgebraic GeometryK-Theory and Homology14C25; 19E08text