On Gorenstein log del Pezzo Surfaces
代数几何
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0109223,
title = {On Gorenstein log del Pezzo Surfaces},
author = {Qiang Ye},
journal= {arXiv preprint arXiv:math/0109223},
year = {2007}
}
备注
47 pages, 25figures. to appear in Japanese J.Math