New canonical triple covers of surfaces

Abstract

We construct a surface of general type with canonical map of degree 12 which factors as a triple cover and a bidouble cover of ${\mathbb{P}}^2$. We also show the existence of a smooth surface with $q=0,$ $\chi =13$ and $K^2=9\chi$ such that its canonical map is either of degree 3 onto a surface of general type or of degree 9 onto a rational surface.

Comments welcome

References in corpus (2)

• Prym varieties and the canonical map of surfaces of general type
• Canonical maps of surfaces defined by Abelian covers