Is it true that $F|_L:L\to \mathbb{C}$ has topological degree $r$, such that $|r|≤k$?

Let $F=g\circ H$, where $H:\mathbb{C}^n\to \mathbb{C}^n$ is a homeomorphism such that $H(tz)=tH(z)$ for $t>0$ and $g$ is a homogeneous polynomial of degree $k$. Let $L$ be a complex line such...

10 September 2013 9,999 6 View