Topological Triviality of Families of Singular Surfaces

Details Topological Triviality of Families of Singular Surfaces Topological Triviality of Families of Singular Surfaces

2006-11-22

arxiv.org/abs/math/0611699v1

Mathematics

Complex Variables

19 pages

Scientific paper

We study the topological triviality of families of singular surfaces in
${\mathbb C}^3$ parametrized by $\mathcal A$-finitely determined map germs. We
prove that the constancy of the Milnor number of the double point locus
characterizes the topological triviality of the family.

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