DIFFERENTIAL INVARIANCE OF MULTIPLICITY
Abstract
For an analytic variety V and a point P on V, the multiplicity of V at P is a natural number which measures the nonsmoothness of V at P. We prove that the multiplicity is invariant under embedded diffeomorphism. This generalizes a result of Ephraim. We also discuss the notion of differential equivalence for analytic germs.
Degree
Ph.D.
Subject Area
Mathematics
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