Evaluation of Brauer elements over local fields

TL;DR

This paper investigates how Brauer group elements evaluate over varieties in local fields, demonstrating that these evaluation maps often remain constant in various significant cases.

Contribution

It provides new results on the constancy of evaluation maps associated with Brauer group elements over local fields in specific scenarios.

Findings

Evaluation maps are constant in several key cases.

The study advances understanding of Brauer group evaluations over local fields.

Abstract

We study the evaluation maps given by elements of the Brauer group of varieties over local fields. We show constancy of the aforementioned maps in several interesting cases.