Differential invariant properties of analytic spaces
Abstract
We consider the differential invariant properties of pairs of a complex analytic space and its submanifold. We prove that $C\sp1$-differential equivalence between such pairs induces a homeomorphism between normal cones, and the multiplicity of each component in the normal cone is a $C\sp1$-differential invariant. We compare the multiplicity of a complex analytic germ with the local topological degree of a transversal differential projection. We construct an example of surface in which the multiplicity is less than the local topological degree.
Degree
Ph.D.
Advisors
Lipman, Purdue University.
Subject Area
Mathematics
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