论文标题
Sebastiani-Thom型孤立的超表面奇异性的Tjurina编号
The Tjurina number for Sebastiani-Thom type isolated hypersurface singularities
论文作者
论文摘要
在本说明中，我们为分离变量中的孤立性超表面奇点的连接的tjurina数量提供了一个公式。由此，我们能够提供一个孤立的超表面奇异性的特征，这些奇异性在分离变量中孤立的超表面奇异性的连接时，米尔诺和tjurina数量之间的差异小于或等于两个。此外，我们能够为Milnor和Tjurina数量的商数量提供新的上限，这是孤立的超表面奇异性的某些连接。最后，我们根据任何孤立的超表面奇异性的奇异性指数，不一定是奇异性的连接，从而推断出米尔诺（Milnor）和tjurina数字的商的上限。
In this note we provide a formula for the Tjurina number of a join of isolated hypersurface singularities in separated variables. From this we are able to provide a characterization of isolated hypersurface singularities whose difference between the Milnor and Tjurina numbers is less or equal than two arising as the join of isolated hypersurface singularities in separated variables. Also, we are able to provide new upper bounds for the quotient of Milnor and Tjurina numbers of certain join of isolated hypersurface singularities. Finally, we deduce an upper bound for the quotient of Milnor and Tjurina numbers in terms of the singularity index of any isolated hypersurface singularity, not necessarily a join of singularities.
