Topology of polar weighted homogeneous hypersurfaces

2008/01/24 by Mutsuo Oka, Oka, Mutsuo · 2 citations
Mathematics · #14J17 #32S25 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV #msc:14J17 #msc:32S25

paper · pdf · doi:10.48550/arxiv.0801.3708

arxiv created 2008/01/24 · arxiv updated 2009/12/01

Abstract

Polar weighted homogeneous polynomials are the class of special polynomials of real variables x_i,y_i, i=1,..., n with z_i=x_i+√(-1) y_i, which enjoys a "polar action". In many aspects, their behavior looks like that of complex weighted homogeneous polynomials. We study basic properties of hypersurfaces which are defined by polar weighted homogeneous polynomials.

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