New canonical triple covers of surfaces

Rito, Carlos

doi:10.1090/S0002-9939-2015-12599-3

New canonical triple covers of surfaces
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by Carlos Rito PDF

Proc. Amer. Math. Soc. 143 (2015), 4647-4653 Request permission

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.

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