New examples of canonical covers of degree 3

TL;DR

This paper introduces new examples of complex projective surfaces of general type with a canonical map of degree 3, including some with base points, expanding the limited known cases of such surfaces.

Contribution

It provides novel examples of surfaces with canonical maps of degree 3, notably including cases where the canonical map is not a morphism due to base points.

Findings

New examples of surfaces with canonical map degree 3

Some examples have canonical maps with base points

Expands the known class of such surfaces

Abstract

This paper presents new examples of projective surfaces of general type over $\mathbb{C}$ with canonical map of degree $ 3 $ onto a surface of general type. Very few examples are known of such surfaces and some of the examples in this paper present the new feature of having the canonical map not a morphism (i.e. the canonical linear system with base points).