SOME SPLICE QUOTIENT DOUBLE POINTS

被引:0
|
作者
Sell, Elizabeth A. [1 ]
机构
[1] Millersville Univ Pennsylvania, Dept Math, Millersville, PA 17551 USA
关键词
Surface singularity; suspension singularity; rational homology sphere; abelian cover; resolution graph; splice diagram; splice quotient; UNIVERSAL ABELIAN COVERS; HOMOLOGY SPHERE LINKS; SURFACE SINGULARITIES; SUPERISOLATED SINGULARITIES; INVARIANT CONJECTURE; CASSON INVARIANT; Z(N); F(X; Y);
D O I
10.1142/S0129167X11007549
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The splice quotients are an interesting class of normal surface singularities with rational homology sphere links. In general, it can be difficult to determine whether or not a singularity is a splice quotient (an analytic condition). We consider splice quotient deformations of splice quotients of the form z(2) = x(a) + y(b), and show that in general not all equisingular deformations are splice quotients.
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页数:16
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