A new infinite family of irregular algebraic surfaces with canonical map of degree 8

TL;DR

This paper constructs an infinite family of irregular algebraic surfaces of general type with a canonical map of degree 8, irregularity 1, and large geometric genus, where the canonical map's image is not minimal degree.

Contribution

It introduces a new infinite family of irregular algebraic surfaces with specific properties of the canonical map and irregularity, expanding known classifications.

Findings

Constructed an infinite family of surfaces with canonical map degree 8

Surfaces have irregularity 1 and arbitrarily large geometric genus

Canonical map's image is not a surface of minimal degree

Abstract

In this note we construct an unlimited family of irregular algebraic surfaces of general type with canonical map of degree $ 8 $, irregularity $ 1 $ and arbitrarily large geometric genus such that the image of the canonical map is not a surface of minimal degree.