A remark about homogeneous polynomial maps
Abstract
We consider homogeneous polynomial maps $F\colon {\mathbb R}^{n}
\rightarrow {\mathbb R}^{n}$ of degree $p$. We classify the pairs $(p,n)$ for which there exists
a surjective and non-proper such map and when the right inverse to $F$
exists but is unbounded.
\rightarrow {\mathbb R}^{n}$ of degree $p$. We classify the pairs $(p,n)$ for which there exists
a surjective and non-proper such map and when the right inverse to $F$
exists but is unbounded.
Keywords
Homogeneous polynomial map; index of singular point of vector field
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