2--elementary rational covers of the plane

TL;DR

This paper classifies certain Galois covers of the plane with elementary abelian 2-group symmetry, up to Cremona transformations, providing a comprehensive understanding of their structure.

Contribution

It offers a classification of elementary rational covers of the plane with Galois group ^r, up to Cremona transformations, advancing the understanding of plane covers.

Findings

Classification of ^r Galois covers of the plane

Description of these covers up to Cremona transformations

Structural insights into elementary rational plane covers

Abstract

In this paper I classify, up to Cremona transformations, the Galois cover of the plane with Galois group of the form $\mathbb Z_2^r$.