Topological Triviality of Families of Singular Surfaces

Abstract

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.

19 pages

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