Topology of polar weighted homogeneous hypersurfaces
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Kodai Mathematical Journal
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Topology of polar weighted homogeneous hypersurfaces

Mutsuo Oka

Source: Kodai Math. J. Volume 31, Number 2 (2008), 163-182.

Abstract

Polar weighted homogeneous polynomials are special polynomials of real variables xi, yi, i = 1, ..., n with zi = xi + $\sqrt{-1}y_i$ which enjoy 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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.kmj/1214442793
Digital Object Identifier: doi:10.2996/kmj/1214442793
Mathematical Reviews number (MathSciNet): MR2435890

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2008 © Tokyo Institute of Technology, Department of Mathematics