Smooth plane curves with one place at infinity. -- Appendix by Yuji Nakazawa
type: Item
instance of: scholarly article
title: Smooth plane curves with one place at infinity. -- Appendix by Yuji Nakazawa
zbMATH Open document ID: 0903.14007
author: Yuji Nakazawa
author: M. Oka
published in: Journal of the Mathematical Society of Japan
publication date: 1999-01-06T00:00:00Z
review text: In this paper, we propose a systematical way to classify the possible normal forms of smooth plane curves with given genus \(g\), using Tchirnhausen resolution tower. We also compute the dimension of moduli spaces for \(3\leq g\leq 7\). In the appendix, the normal forms for \(8\leq g\leq 16\) are given by \textit{Y. Nakazawa}.
Mathematics Subject Classification ID: 14H10
Mathematics Subject Classification ID: 14H45
zbMATH DE Number: 1185523
zbMATH Keywords: one place at infinity
zbMATH Keywords: normal forms of smooth plane curves
zbMATH Keywords: genus
zbMATH Keywords: Tchirnhausen resolution tower
zbMATH Keywords: dimension of moduli spaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04940663
OpenAlex ID: W2015258807
DOI: 10.2969/JMSJ/04940663
description: scientific article; zbMATH DE number 1185523