Applications of the Eisenbud-Levine’s theorem to real algebraic geometry
Let f: (R n,0) → (R p,0) be the germ of an analytic mapping. The fibre f - 1(0) is locally homeomorphic to a cone, with vertex 0. The base L of the cone is the intersection of f − 1(0) with a small sphere S ∈ centred at 0. Investigation of topology of L is one of the most crucial aims of singularity theory.
KeywordsSingular Point Euler Characteristic Homogeneous Polynomial Algebraic Formula Milnor Number
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