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arXiv · 2209.06057

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

Federico Fallucca
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Abstract

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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Federico Fallucca. 2022-09-13. Examples of surfaces with canonical maps of degree $12$, $13$, $15$, $16$ and $18$. https://arxiv.org/abs/2209.06057

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