奇异空间上函数的临界点
Critical Points of Functions on Singular Spaces
摘要:
我们比较和对比各种概念的“临界轨迹”的一个复杂的解析函数的奇异空间。在选择了一个拓扑变体作为我们的临界轨迹的主要概念后,我们通过推广Lê和Saito的结果来证明我们的选择,即常数Milnor数意味着Thom的a_f条件被满足。
英文摘要:
We compare and contrast various notions of the "critical locus" of a complex analytic function on a singular space. After choosing a topological variant as our primary notion of the critical locus, we justify our choice by generalizing Lê and Saito's result that constant Milnor number implies that Thom's a_f condition is satisfied.
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