Equisingularity of families of functions on isolated determinantal singularities
Abstract
We study the equisingularity of a family of function germs \ft(Xt,0) (C,0)\, where (Xt,0) are d-dimensional isolated determinantal singularities. We define the (d-1)th polar multiplicity of the fibers Xt ft-1(0) and we show how the constancy of the polar multiplicities is related to the constancy of the Milnor number of ft and the Whitney equisingularity of the family.
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