Comptes Rendus
Algebraic geometry
Some examples of algebraic surfaces with canonical map of degree 20
Nguyen Bin1
1Mathematics Division, National Center for Theoretical Sciences, Taiwan
Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1145-1153

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 2 =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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DOI: 10.5802/crmath.267
Classification: 14J29

Nguyen Bin  1

1 Mathematics Division, National Center for Theoretical Sciences, Taiwan
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
Nguyen Bin. Some examples of algebraic surfaces with canonical map of degree 20. Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1145-1153. doi: 10.5802/crmath.267
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