### 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

#### Full Text:

FULL TEXT### Refbacks

- There are currently no refbacks.