A theorem on zero cycles on surfaces

Abstract

In this paper we prove a result on 0-cycles on surfaces as an application of the theorem on the kernel of the Gysin homomorphism of Chow groups of 0-cycles of degree zero induced by the embedding of a curve into a surface, and we study the connection of this result with Bloch’s conjecture and constant cycles curves.

Keywords

• zero-cycles
• chow groups
• surfaces
• constant cycle curves
• general type surface