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Topological Triviality of Families of Singular Surfaces

R. Callejas-Bedregal, K. Houston, M. A. S. Ruas

math.CVarXiv:math/0611699

Abstract

We study the topological triviality of families of singular surfaces in C3 parametrized by 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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