A surface with $q=2$ and canonical map of degree $16$

TL;DR

This paper constructs a specific algebraic surface with particular invariants, including irregularity, geometric genus, and a canonical map of degree 16, contributing to the classification of algebraic surfaces.

Contribution

It introduces a new example of a surface with q=2, p_g=3, K^2=16, and a canonical map of degree 16, expanding known classifications.

Findings

Constructed a surface with q=2, p_g=3, K^2=16.

Demonstrated the surface's canonical map has degree 16.

Provides a new example in the classification of algebraic surfaces.

Abstract

We construct a surface with irregularity $q=2,$ geometric genus $p_g=3,$ self-intersection of the canonical divisor $K^2=16$ and canonical map of degree $16.$