Canonical maps of surfaces defined by Abelian covers

Rong Du; Yun Gao

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arXiv · 1205.2439

Canonical maps of surfaces defined by Abelian covers

Rong Du·Yun Gao

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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.

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Rong Du, Yun Gao. 2014-06-19. Canonical maps of surfaces defined by Abelian covers. https://arxiv.org/abs/1205.2439

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