Topology of polar weighted homogeneous hypersurfaces

Mutsuo Oka

Topology of polar weighted homogeneous hypersurfaces

Algebraic Geometry 2008-01-25 v1 Complex Variables

Authors: Mutsuo Oka

Abstract

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

Keywords

polar weighted homogeneous polynomials hypersurfaces polar action complex weighted homogeneous polynomials topology real variables algebraic geometry

Cite

@article{arxiv.0801.3708,
  title  = {Topology of polar weighted homogeneous hypersurfaces},
  author = {Mutsuo Oka},
  journal= {arXiv preprint arXiv:0801.3708},
  year   = {2008}
}

Topology of polar weighted homogeneous hypersurfaces

Abstract

Keywords

Cite

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