On the arithmetic Galois covers of higher relative dimensions
Feng-Wen An
TL;DR
This paper develops a calculus and criteria for the existence of arithmetic Galois covers in higher relative dimensions, advancing the understanding of their structure and properties.
Contribution
It introduces new methods and criteria for analyzing and establishing the existence of arithmetic Galois covers in higher relative dimensions.
Findings
Provided a calculus for higher-dimensional Galois covers
Established criteria for their existence
Demonstrated the existence of such covers in specific cases
Abstract
In this paper we will give the calculus, the criterion, and the existence of the arithmetic Galois covers of higher relative dimensions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Numerical Analysis Techniques · Polynomial and algebraic computation