On Gorenstein log del Pezzo Surfaces

2001/09/28 by Qiang Ye, Ye, Qiang · 1 citation
Mathematics · #14E20 #14E35 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E20 #msc:14E35

paper · pdf · doi:10.48550/arxiv.math/0109223

47 pages, 25figures. to appear in Japanese J.Math

arxiv created 2001/12/22 · arxiv updated 2009/11/30

Abstract

In this paper, we first present the complete list of the singularity types of the Picard number one Gorenstein log del Pezzo surface and the number of the isomorphism classes with the given singularity type. Then we give out a method to find out all singularity types of Gorenstein log del Pezzo surface. As an application, we present the complete list of the Dynkin type of the Picard number two Gorenstein log del Pezzo surfaces. Finally we present the complete list of the singularity type of the relatively minimal Gorenstein log del Pezzo surface and the number of the isomorphism classes with the given singularity type.

Cited by

• Endomorphisms of rank one Gorenstein del Pezzo surfaces

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