Canonical maps of surfaces defined by abelian covers (Q407352)

In the paper under review, the authors give a characterization of the degree \(d\) of the canonical \(\varphi_{K_S}\) of a regular surface of general type \(S\), in the case when \(\varphi_{K_S}\) is an abelian cover of \(\mathbb{P}^2\).NEWLINENEWLINEIn particular, they are able to prove that \(d=2,3,4.6,8,9,16\). In addition, they give the equation of the found surfaces. Finally, the give the configuration of the branch divisor explicitly for the case \(d=16\).