Canonical maps of surfaces defined by abelian covers
type: Item
instance of: scholarly article
title: Canonical maps of surfaces defined by abelian covers
zbMATH Open document ID: 1318.14037
author: Rong Du
author: Yun Gao
published in: The Asian Journal of Mathematics
publication date: 2014-09-01T00:00:00Z
full work available at URL: https://arxiv.org/abs/1205.2439
full work available at URL: https://projecteuclid.org/euclid.ajm/1409168522
reviewed by: Matteo Penegini
Mathematics Subject Classification ID: 14J29
Mathematics Subject Classification ID: 14E20
zbMATH DE Number: 6336961
zbMATH Keywords: canonical map
zbMATH Keywords: abelian cover
MaRDI profile type: Publication
arXiv ID: 1205.2439
DOI: 10.4310/AJM.2014.V18.N2.A2
review text: In the paper under review, the authors give a characterization of the degree \(d\) of the canonical \(\varphi_{K_S}\) of a regular surface of general type \(S\), in the case when \(\varphi_{K_S}\) is an abelian cover of \(\mathbb{P}^2\).NEWLINENEWLINEIn particular, they are able to prove that \(d=2,3,4.6,8,9,16\). In addition, they give the equation of the found surfaces. Finally, the give the configuration of the branch divisor explicitly for the case \(d=16\).
description: scientific article; zbMATH DE number 6336961