论文标题

具有典型地图的表面示例$ 12 $,$ 13 $,$ 15 $,$ 16 $和$ 18 $

Examples of surfaces with canonical maps of degree $12$, $13$, $15$, $16$ and $18$

论文作者

Fallucca, Federico

论文摘要

在本说明中,我们介绍了复杂代数表面的示例,其规范地图为$ 12 $,$ 13 $,$ 15 $,$ 16 $和$ 18 $。它们被构造为两条曲线属$ 10 $和$ 19 $的产品的商,并使用组的某些非免费操作$ s_3 \ times \ mathbb z_3^2 $。据我们所知,没有其他示例在表面文献中,标准$ 13 $,$ 15 $和$ 18 $。

In this note we present examples of complex algebraic surfaces with canonical maps of degree $12$, $13$, $15$, $16$ and $18$. They are constructed as quotients of a product of two curves of genus $10$ and $19$ using certain non-free actions of the group $S_3\times \mathbb Z_3^2$. To our knowledge there are no other examples in literature of surfaces with canonical map of degree $13$, $15$ and $18$.

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