Examples of surfaces with canonical maps of degree 12, 13, 15, 16 and 18-Reference-Cited by-同舟云学术

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

Published:2023-08-01 Issue: Volume: Page:
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata (1923 -)
language:en
Short-container-title:Annali di Matematica

Author:

Fallucca Federico^ORCID

Abstract

AbstractIn 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

$$S_3\times {\mathbb {Z}}_3^2$$

S 3 × Z 3 2 . To our knowledge, there are no other examples in the literature of surfaces with canonical map of degree 13, 15 and 18.

Funder

Università degli Studi di Trento

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10231-023-01363-6.pdf

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1. Some algebraic surfaces with canonical map of degree 10, 12, 14;Communications in Algebra;2023-07-15