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

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 $$\mathbb P^1\times \mathbb P^1$$ .