Galois lines for the Artin-Schreier-Mumford curve

TL;DR

This paper describes the complete arrangement of Galois lines for the Artin-Schreier-Mumford curve in projective 3-space, revealing the surprising fact that infinitely many Galois lines intersect the curve.

Contribution

It provides a detailed description of all Galois lines for the Artin-Schreier-Mumford curve, including the discovery of infinitely many intersecting Galois lines.

Findings

All Galois lines for the curve are characterized.

Existence of infinitely many Galois lines intersecting the curve.

Complete geometric arrangement in projective 3-space.

Abstract

The arrangement of all Galois lines for the Artin-Schreier-Mumford curve in the projective 3-space is described. It may be surprising that there exist infinitely many Galois lines intersecting this curve.