Involutions on algebraic surfaces and zero cycles

TL;DR

This paper investigates how involutions on smooth projective surfaces influence the structure of zero cycles within the Chow group, providing insights into algebraic surface symmetries.

Contribution

It introduces a new analysis of involution actions on zero cycles in the Chow group of algebraic surfaces, expanding understanding of surface symmetries.

Findings

Characterization of involution actions on zero cycles

Identification of fixed points and their impact

New relations in the Chow group induced by involutions

Abstract

In this note we are going to consider a smooth projective surface equipped with an involution and study the action of the involution at the level of Chow group of zero cycles.