Abstract:
We study the recognition of -classes of multi-germs in families of corank-1 maps from n-space into n-space. From these recognition conditions we deduce certain geometric properties of bifurcation sets of such families of maps. As applications we give a formula for the number of -codimension-1 classes of corank-1 multi-germs from ℂn to ℂn and an upper bound for the number of stable projections of algebraic hypersurfaces in ℝn +1 into hyperplanes.
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Received: 23 July 1998
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Rieger, J. Recognizing unstable equidimensional maps, and the number of stable projections of algebraic hypersurfaces. manuscripta math. 99, 73–91 (1999). https://doi.org/10.1007/s002290050163
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DOI: https://doi.org/10.1007/s002290050163