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–LeFibration and the equivalence between them. We prove for this class the of functions that the Milnor–Le fiber on a regular value is homeomorphic to the Milnor–Le 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.