Some examples of algebraic surfaces with canonical map of degree 20
Algebraic Geometry
2021-09-07 v2
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.
Keywords
Cite
@article{arxiv.2105.02181,
title = {Some examples of algebraic surfaces with canonical map of degree 20},
author = {Nguyen Bin},
journal= {arXiv preprint arXiv:2105.02181},
year = {2021}
}
Comments
To appear in Comptes Rendus - S\'erie Math\'ematique