The Chow group of zero-cycles on certain Ch{\^a}telet surfaces over local fields

TL;DR

This paper calculates the Chow group of zero-cycles on specific Châtelet surfaces over local fields, advancing understanding of algebraic cycles in arithmetic geometry.

Contribution

It provides explicit computations of the Chow group for certain Châtelet surfaces over local fields, a novel contribution to the field.

Findings

Explicit description of the Chow group for the studied surfaces

Identification of conditions affecting the structure of zero-cycles

New insights into algebraic cycles over local fields

Abstract

We compute the Chow group of zero-cycles on certain Ch{\^a}telet surfaces over local fields.