Stable log surfaces and limits of quartic plane curves
type: Item
instance of: scholarly article
title: Stable log surfaces and limits of quartic plane curves
zbMATH Open document ID: 0973.14014
author: Brendan Hassett
published in: Manuscripta Mathematica
publication date: 2001-11-28T00:00:00Z
review text: Let \(C\subseteq\mathbb{P}^2\) be a smooth curve of degree \(d>3\) and look at \((\mathbb{P}^2,C)\) as at a stable log surface. In this paper the author gives a concrete description of the connected moduli scheme of smoothable stable log surfaces when \(d\) is small. In particular the moduli space corresponding to quartic plane curves is shown to coincide with the moduli space of stable curves of genus three.
Mathematics Subject Classification ID: 14H50
Mathematics Subject Classification ID: 14H10
Mathematics Subject Classification ID: 14J10
zbMATH DE Number: 1399924
zbMATH Keywords: stable log surface
zbMATH Keywords: quartic plane curves
zbMATH Keywords: moduli space of stable curves
reviewed by: Marino Palleschi
MaRDI profile type: Publication
full work available at URL: s002290050213
OpenAlex ID: W1970495185
DOI: 10.1007/S002290050213
description: scientific article; zbMATH DE number 1399924