Milnor K-Groups and Zero-Cycles on Products of Curves over p-Adic Fields

Abstract

We investigate the Chow groups of zero cycles of products of curves over a p -adic field by means of the Milnor K -groups of their Jacobians as introduced by Somekawa. We prove some finiteness results for CH 0 ( X )/ m for X a product of curves over a p -adic field.