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 S3×Z32. To our knowledge, there are no other examples in the literature of surfaces with canonical map of degree 13, 15 and 18.
Fallucca, F. (2024). Examples of surfaces with canonical maps of degree 12, 13, 15, 16 and 18. ANNALI DI MATEMATICA PURA ED APPLICATA, 203(3), 1015-1024 [10.1007/s10231-023-01363-6].
Examples of surfaces with canonical maps of degree 12, 13, 15, 16 and 18
Fallucca F.
2024
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 S3×Z32. To our knowledge, there are no other examples in the literature of surfaces with canonical map of degree 13, 15 and 18.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Falluca-2024-Annali di Matematica Pura ed Applicata-VoR.pdf
accesso aperto
Descrizione: This article is licensed under a Creative Commons Attribution 4.0 International License To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Licenza:
Creative Commons
Dimensione
400.78 kB
Formato
Adobe PDF
|
400.78 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
