Canonical maps of surfaces defined by Abelian covers

Abstract

In this paper, we classified the surfaces whose canonical maps are abelian covers over ${\mathbb{P}}^2$. Moveover, we construct a new Campedelli surface with fundamental group ${\mathbb{Z}}_2^{\oplus 3}$ and give defining equations for Perssson's surface and Tan's surfaces with odd canonical degrees explicitly.

Comments welcome

Cited by in corpus (1)

• New canonical triple covers of surfaces