Abstract
AbstractLet $$f:({\mathbb {C}}^n,0)\rightarrow \left( {\mathbb {C}},0\right) ,$$f:(Cn,0)→C,0,$$n\le 3,$$n≤3, be a nondegenerate singularity. In this article we give a combinatorial characterization of the dimension of the critical locus of f in terms of its support. We also show that this dimension can be read off from the Newton diagram of f, which solves one of Arnold’s problems in this case.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
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