# On mixed projective curves

### Mutsuo Oka

Tokyo University of Science, Japan

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## Abstract

Let $f(z,zˉ)$ be a strongly polar homogeneous polynomial of $n$ variables $z=(z_{1},…,z_{n})$. This polynomial defines a projective real algebraic variety $V={[z]∈CP_{n−1}∣f(z,zˉ)=0}$ in the projective space $CP_{n−1}$. The behavior is different from that of the projective hypersurface. The topology is not uniquely determined by the degree of the variety even if $V$ is non-singular. We study a basic property of such a variety.