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arXiv · 2105.02181

Some examples of algebraic surfaces with canonical map of degree 20

Nguyen Bin
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Abstract

In this note, we construct two minimal surfaces of general type with geometric genus p_g= 3, irregularity q = 0, self-intersection of the canonical divisor K^22 =20,24 such that their canonical map is of degree 20. In one of these surfaces, the canonical linear system has a non-trivial fixed part. These surfaces, to our knowledge, are the first examples of minimal surfaces of general type with canonical map of degree 20.

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Nguyen Bin. 2021-05-05. Some examples of algebraic surfaces with canonical map of degree 20. https://arxiv.org/abs/2105.02181

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