无穷远开折多项式映射
Unfolding polynomial maps at infinity
摘要：
本文给出了在具有孤立奇点的纤维邻域内从$\C^n$到$\C$的多项式映射的拓扑模型。这是出于第一作者和李·鲁道夫早先描述的“联系的展开”。拓扑模型给出了一个有用的编码的局部和全球的monodromy的地图。新的成分-拓扑结构的奇点在无穷远的不规则纤维，编码的Milnor纤维在无穷远和单值映射这些Milnor纤维-是可恢复的n=2的全部从链接在无穷远的不规则纤维。因此，它们可以完全用拼接图来计算。我们通过计算Briancon多项式的全局单值性来说明我们的结果。
英文摘要：
We give a topological model for a polynomial map from $\C^n$ to $\C$ in the neighborhood of a fiber with isolated singularities. This is motivated out of the ``unfolding of links'' described earlier by the first author and Lee Rudolph. The topological model gives a useful encoding of the local and global monodromy for the map. The new ingredients --- the topology of the singularities at infinity of an irregular fiber, as encoded by the Milnor fibers at infinity and the monodromy maps on these Milnor fibers --- are recoverable for n=2 in full from the link at infinity of the irregular fiber. They can thus be computed completely in terms of splice diagrams. We illustrate our results by computing the global monodromy of the Briancon polynomial.
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