Results on Milnor Fibrations for mixed polynomials with non-isolated singularities

Abstract

In this article we investigate mixed polynomials and present conditions that can be applied on a specific class of polynomials in order to prove the existence of the Milnor Fibration, Milnor-Lê Fibration and the equivalence between them. We prove for this class the of functions that the Milnor-Lê fiber on a regular value is homeomorphic to the Milnor-Lê fiber on a critical value. We develop a criterion to verify the transversality property and apply it to a special case of the class of mixed polynomial.

25 pages, 2 figures

References in corpus (2)

• Equivalence of Milnor and Milnor-Lê fibrations for real analytic maps
• Fibration theorems à la Milnor for differentiable maps with non-isolated singularities