Dihedral coverings branched along maximizing sextics
type: Item
instance of: scholarly article
title: Dihedral coverings branched along maximizing sextics
zbMATH Open document ID: 0877.14011
published in: Mathematische Annalen
publication date: 1997-12-15T00:00:00Z
review text: Let \(C\) be a maximizing sextic. We study a \({\mathcal D}_{2p}\) (\(p\): odd prime) covering of \(\mathbb{P}^2\) branched along \(C\). Suppose that \(C\) is irreducible and has at least one triple point. Then, for \(p\geq 5\), there is no \({\mathcal D}_{2p}\) covering branched along \(C\). For \(p=3\), we give a sufficient condition for \(C\) to be the branch locus of a \({\mathcal D}_6\) covering. Several examples of such \(C\) are given.
Mathematics Subject Classification ID: 14E20
Mathematics Subject Classification ID: 14H30
Mathematics Subject Classification ID: 14J27
zbMATH DE Number: 1051680
zbMATH Keywords: dihedral covering
zbMATH Keywords: elliptic surface
zbMATH Keywords: sextic
author: Hiro-O Tokunaga
MaRDI profile type: Publication
full work available at URL: s002080050094
OpenAlex ID: W2074511916
DOI: 10.1007/S002080050094
description: scientific article; zbMATH DE number 1051680