Non-degenerate mixed functions

Details Non-degenerate mixed functions Non-degenerate mixed functions

2009-09-10

arxiv.org/abs/0909.1904v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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