Groupe de Chow des z\'ero-cycles sur les vari\'et\'es p-adiques

TL;DR

This paper surveys a finiteness theorem for zero-cycles on algebraic varieties over p-adic fields, discussing key results and methods from Saito and Sato's work in arithmetic geometry.

Contribution

It provides an overview of the main ideas and significance of the finiteness theorem for zero-cycles over p-adic fields.

Findings

Summarizes the main results of Saito and Sato's theorem

Highlights the techniques used in the proof

Discusses implications for arithmetic geometry

Abstract

Ceci est un rapport sur l'article "A finiteness theorem for zero-cycles over p-adic fields" (arXiv:math/0605165) de Shuji Saito et Kanetomo Sato. ----- This is a survey on the paper "A finiteness theorem for zero-cycles over p-adic fields" (arXiv:math/0605165) by Shuji Saito and Kanetomo Sato.