Title

On the topology of polynomial hypersurfaces

Document Type

Article

Publication Date

1983

Abstract

It is shown that for a large class of polynomials (tame polynomials), F: Cn -> C, the smooth level sets F-1 (a) have the homotopy type of a bouquet of spheres of dimension n , where µ, is the total Milnor number of F. A siimilar result under slightlv different hypotheses has been reported by Kouchnirenko. The result is deduced from the Milnor Fibration Theorem using standard homology and homotopy arguments.

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