Topology of polar weighted homogeneous hypersurfaces

Details Topology of polar weighted homogeneous hypersurfaces Topology of polar weighted homogeneous hypersurfaces

2008-01-24

arxiv.org/abs/0801.3708v1

Mathematics

Algebraic Geometry

Scientific paper

Polar weighted homogeneous polynomials are the class of special polynomials
of real variables $x_i,y_i, i=1,..., n$ with $z_i=x_i+\sqrt{-1} y_i$, 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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