Non-degenerate mixed functions

Abstract

Mixed functions are analytic functions in variables $z_1,...,z_n$ and their conjugates ${\bar{z}}_1,...,{\bar{z}}_n$. We introduce the notion of Newton non-degeneracy for mixed functions and develop a basic tool for the study of mixed hypersurface singularities. We show the existence of a canonical resolution of the singularity, and the existence of the Milnor fibration under the strong non-degeneracy condition.

Cited by in corpus (1)

• On mixed projective curves