Contractible affine surfaces with quotient singularities

被引：0

作者：

Mariusz Koras

Peter Russell

机构：

[1] Institute of Mathematics,

[2] Warsaw University,undefined

[3] Department of Mathematics,undefined

[4] McGill University,undefined

来源：

Transformation Groups | 2007年 / 12卷

关键词：

Irreducible Component; Rational Curf; Dual Graph; Singular Locus; Quotient Singularity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider contractible affine surfaces of negative Kodaira dimension with only quotient singularities. We prove that the smooth locus of such a surface has negative Kodaira dimension. It follows that if such a surface has only one singular point, then it is isomorphic to a quotient C2/G, where G is a finite group acting linearly on C2.

引用

页码：293 / 340

页数：47

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