An exposition on finite dimensionality of Chow groups

Abstract

In this exposition we understand when the natural map from the Chow variety parametrizing codimension $p$ cycles on a smooth projective variety $X$ to the Chow group $\CH^p(X)$ is surjective. We derive some consequences when the map is surjective.

arXiv comment22 pages, accepted for publication in Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry