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Polynomially convex hulls of graphs on the sphere
Authors:Toshiya Jimbo   Akira Sakai
Affiliation:Department of Mathematics, Nara University of Education, Takabatake, Nara 630-8528, Japan ; Yamadanishi 2-9,A3-612 Suita, Osaka 565-0824, Japan
Abstract:Let $Sigma$ be the graph of a continuous map of the unit sphere of $mathbb C^n$ into $mathbb C^m$, and $h(Sigma)$ the polynomially convex hull of $Sigma$. Several examples of $h(Sigma)$ for $n=m>1$ are given, which have different properties from the known ones for $n>m$.

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