TL;DR
This paper develops a finite subgroup of the Brauer-Manin obstruction to determine the existence of integral points on models of multi-norm tori, with explicit examples illustrating the method.
Contribution
It introduces a novel finite subgroup of the Brauer-Manin obstruction specifically for multi-norm tori, enhancing tools for integral point detection.
Findings
Constructed explicit examples demonstrating the obstruction
Provided a new method for detecting integral points on multi-norm tori
Enhanced understanding of Brauer-Manin obstruction in this context
Abstract
We construct a finite subgroup of Brauer-Manin obstruction for detecting the existence of integral points on integral models of principle homogeneous spaces of multi-norm tori. Several explicit examples are provided.
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