Non-degenerate mixed functions

2009/09/10 by Mutsuo Oka, Oka, Mutsuo · 3 citations
Mathematics · #14J17 #14J70 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J17 #msc:14J70

paper · pdf · doi:10.48550/arxiv.0909.1904

arxiv created 2009/09/10 · arxiv updated 2009/12/01

Abstract

Mixed functions are analytic functions in variables z₁,..., z_n and their conjugates z₁,..., 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

• Lipschitz Geometry of Mixed Polynomials
• Non-degenerate mixed maps and contact structures
• Whitney equisingularity for families of hypersurfaces in toric varieties

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