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CR DEFORMATIONS FOR NORMAL ISOLATED SURFACE SINGULARITIES

机译:正常隔离面奇异性的CR变形

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Introduction. In [Pink], Pinkham constructed the versal deformation space for the family of singularities V_n approx= C~2/Z_n,n ∈ {2,3,4,...} denned by the immersions of C~2 into C~(n+1) X_0~n : (z, ω) → (z~n, z~(n-1) ω,..., zω~(n-1), ω~n). In [BlEp], we constructed a CR stably embeddable deformation theory on the link of the singularity, and showed formal equivalence between the deformation theory for the singularity and the CR stably embeddable deformations on the link. As an example, we constructed the first order CR versal deformation space for links of V_n and showed equivalence to Pinkham's first order deformations of the singularities. We were also able to identify the first order deformations which were unobstructed to all orders, but were only able to identify the obstructions by appealing to Pinkham.
机译:介绍。 在[粉红色]中,Pinkham构建了奇点系列的变形空间V_N约= C〜2 / Z_N,n∈{2,3,4,...}被C〜2的沉浸位于C〜( n + 1)x_0〜n:(z,ω)→(z〜n,z〜(n-1)ω,...,zω〜(n-1),ω〜n)。 在[BLEP]中,我们构建了奇点链接的CR稳定嵌入的变形理论,并显示了奇点变形理论与链接上的稳定嵌入变形之间的正式等价。 例如,我们为V_N的链接构建了第一阶CR Versal变形空间,并显示了Pinkham的奇点的第一阶变形等效。 我们还能够识别所有令人无障碍的第一阶变形,但只能通过吸引粉红色挑战来识别障碍物。

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