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Connectedness of Milnor fibres and Stein factorization of compactifiable holomorphic functions
Pure and Applied Mathematics Quarterly ( IF 0.5 ) Pub Date : 2020-10-01 , DOI: 10.4310/pamq.2020.v16.n4.a8
Helmut A. Hamm 1
Affiliation  

We start with conditions under which the Milnor fibre of a holomorphic function on a singular space is connected. In this case the special fibre is contractible, hence connected. So we pass to a more general question: compare the number of connected components of the fibres of a holomorphic function. Useful ingredients are local Lefschetz theorems and some kind of a Stein factorization.

中文翻译:

Milnor纤维的连通性和可压缩全纯函数的Stein因式分解

我们从连接奇异空间上全纯函数的Milnor光纤的条件开始。在这种情况下,特殊光纤是可收缩的,因此可以连接。因此,我们提出了一个更笼统的问题:比较全纯函数纤维的连接组件数。有用的成分是局部Lefschetz定理和某种Stein因式分解。
更新日期:2020-11-15
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