Classification of normal quartic surfaces with irrational singularities
type: Item
instance of: scholarly article
title: Classification of normal quartic surfaces with irrational singularities
zbMATH Open document ID: 1068.14044
author: Yuji Ishii
author: Noboru Nakayama
published in: Journal of the Mathematical Society of Japan
publication date: 2004-10-28T00:00:00Z
review text: Normal quartic surfaces in \(\mathbb P^3\) with irrational singularities are classified by determining their minimal desingularization. Such a surface is determined by its minimal desingularization \(M\), the pullback \(D\) of a generic hyperplane section and a non-zero effective anti-canonical divisor \(E\) on the desingularization. Geometric constructions of all possible triplets \((M,D,E)\) are given.
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 14J25
Mathematics Subject Classification ID: 14J26
Mathematics Subject Classification ID: 14J70
Mathematics Subject Classification ID: 14E30
zbMATH DE Number: 2111282
zbMATH Keywords: ruled surface
zbMATH Keywords: extremal ray
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/1191334093
OpenAlex ID: W2026934832
DOI: 10.2969/JMSJ/1191334093
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description: scientific article; zbMATH DE number 2111282