Effective bounds for Brauer groups of Kummer surfaces over number fields

TL;DR

This paper investigates explicit bounds on the Brauer groups of Kummer surfaces derived from genus 2 curves over number fields, contributing to the understanding of their arithmetic properties.

Contribution

It provides new effective bounds for the Brauer groups of Kummer surfaces associated with Jacobians of genus 2 curves over number fields.

Findings

Established explicit bounds for Brauer groups

Applied bounds to specific classes of Kummer surfaces

Enhanced understanding of arithmetic of Kummer surfaces

Abstract

We study effective bounds for Brauer groups of Kummer surfaces associated to the Jacobians of curves of genus $2$ defined over number fields.