Simultaneous Canonical Models of Deformations of Isolated Singularities
Simultaneous Canonical Models of Deformations of Isolated Singularities
复制标题
孤立奇点变形的联立正则模型
DOI：
10.1007/978-4-431-68172-4_4
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
S. Ishii
中科院分区：
文献类型：
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作者：
S. Ishii
本文继续研究了n~ 2维正常孤立奇点的形变。在文献[12]中，我们得到了孤立奇点的m-亏格fim（m E N）在形变下的上半连续性.考虑另一个m-亏格1 m（m E N）是否具有相同的性质是很自然的。我们在这里证明，1 m在形变7 r：X-> D下也是上半连续的，具有以下性质：
In this paper we continue our study of deformation of normal isolated singularities of dimension n~ 2. In the previous article [12), we obtain the upper semi-continuity of the m-genus fim (m E N) of an isolated singularity under a deformation. It is natural to consider whether another m-genus 1m (m E N) has the same property or not. We show here that 1m is also upper semi-continuous under a deformation 7r: X-> D with the property: