Deformations of quasi-homogeneous surface singularities
Deformations of quasi-homogeneous surface singularities
复制标题
准均匀表面奇点的变形
DOI：
10.1007/bf01474184
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发表时间：
1988
影响因子：
1.4
通讯作者：
J. Wahl
中科院分区：
文献类型：
--
作者：
J. Wahl
设A=~ A~是（E）上的一个正规分次域，使得i= 0 V = Spec A有孤立奇点.我们说V是一个拟齐次奇点，或承认一个好的IE*-作用，或由加权齐次多项式定义。关于V的变形有两个问题。V的”等奇异变形”有两个自然的概念。第一个是重量> 0的变形;也就是说，一个扰动V的定义方程的重量至少一样大。为了更好地理解这一点，Dock Sang Rim观察到一个实际上是变形A和权重过滤{Ij}，其中Ij=~ Ai;
Let A=~ A~ be a finitely generated normal graded domain over (E, so that i= 0V= Spec A has an isolated singularity. We say V is a quasi-homogeneous singularity, or admits a good IE*-action, or is defined by weighted homogeneous polynomials. We are concerned with two questions about the deformations of V. There are two natural notions of" equisingular deformation" of V. First, one has deformations of weight> 0; that is, one perturbs the defining equations of Vby terms of weight at least as big. To make a good notion out of this, Dock Sang Rim observed one is really deforming A and the weight filtration {Ij}, where Ij=~ Ai;