# A new example of an algebraic surface with canonical map of degree 16

## TL;DR

This paper constructs a minimal algebraic surface of general type with specific invariants, featuring a canonical map that is an abelian cover of degree 16 of P^1 x P^1, illustrating a new example in algebraic geometry.

## Contribution

It presents a novel example of a minimal surface with a canonical map of degree 16, expanding known classifications of algebraic surfaces.

## Key findings

- Constructed a minimal surface with p_g=4, K^2=32, q=1
- Canonical map is an abelian cover of degree 16 of P^1 x P^1
- Provides a new example of algebraic surface with these properties

## Abstract

In this note, we construct a minimal surface of general type with geometric genus p g = 4, self-intersection of the canonical divisor K^2 = 32 and irregularity q = 1 such that its canonical map is an abelian cover of degree 16 of P^1 x P^1.