Results on Milnor Fibrations for Mixed Polynomials with Non-isolated Singularities

摘要

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.