On Gorenstein log del Pezzo Surfaces

Details On Gorenstein log del Pezzo Surfaces On Gorenstein log del Pezzo Surfaces

2001-09-28

arxiv.org/abs/math/0109223v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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