## Kodai Mathematical Journal

### Topology of polar weighted homogeneous hypersurfaces

Mutsuo Oka

#### Abstract

Polar weighted homogeneous polynomials are special polynomials of real variables xi, yi, i = 1, ..., n with zi = xi + 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.

#### Article information

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

Dates
First available in Project Euclid: 26 June 2008

https://projecteuclid.org/euclid.kmj/1214442793

Digital Object Identifier
doi:10.2996/kmj/1214442793

Mathematical Reviews number (MathSciNet)
MR2435890

Zentralblatt MATH identifier
1149.14031

#### Citation

Oka, Mutsuo. Topology of polar weighted homogeneous hypersurfaces. Kodai Math. J. 31 (2008), no. 2, 163--182. doi:10.2996/kmj/1214442793. https://projecteuclid.org/euclid.kmj/1214442793