In this note, we present examples of complex algebraic surfaces of general type with canonical maps of degrees 10, 11, and 14. They are constructed as quotients of a product of two Fermat septics using certain free actions of the group .

In this short note we construct unbounded families of minimal surfaces of general type with canonical map of degree 4 such that the limits of the slopes K 2 /χ assume countably many different values in the range [6. 6, 8].

In this note, we present examples of complex algebraic surfaces with canonical maps of degree 12, 13, 15, 16 and 18. They are constructed as quotients of a product of two curves of genus 10 and 19 using certain non-free actions of the group $$S_3\times {\mathbb {Z}}_3^2$$ S 3 × Z 3 2 . To our knowledge, there are no other examples in the literature of surfaces with canonical map of degree 13, 15 and 18.