Comptes Rendus
Géométrie algébrique
Some examples of algebraic surfaces with canonical map of degree 20
Nguyen Bin1
1 Mathematics 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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.267/

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