Normal del Pezzo surfaces containing a nonrational singularity
type: Item
instance of: scholarly article
title: Normal del Pezzo surfaces containing a nonrational singularity
zbMATH Open document ID: 0988.14017
author: Stefan Schröer
published in: Manuscripta Mathematica
publication date: 2002-07-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0001118
full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary
review text: Working over perfect ground fields of arbitrary characteristic the author classifies minimal normal del Pezzo surfaces containing a non-rational singularity. As an application he determines the structure of 2-dimensional anticanonical models for proper normal algebraic surfaces. He shows that the anticanonical ring may be non-finitely generated, however, the anticanonical model is either a proper surface, or a proper surface minus a point.
reviewed by: Stanisław Janeczko
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14J26
Mathematics Subject Classification ID: 14J20
Mathematics Subject Classification ID: 14J25
zbMATH DE Number: 1595293
zbMATH Keywords: del Pezzo surfaces
zbMATH Keywords: non-rational singularity
zbMATH Keywords: anticanonical models
MaRDI profile type: Publication
OpenAlex ID: W2115333564
arXiv ID: math/0001118
DOI: 10.1007/S002290170042
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description: scientific article; zbMATH DE number 1595293