Show that \(F:\CC^3\to\CC^3\) defined by \[ F(u,v,w)=(-u-v-w,\ uv+uw+vw,\ -uvw) \] is surjective but not injective.
The elementary symmetric polynomial map on $\CC^3$ is surjective but not injective
P-BKS19-8A
- Area
- Prelim
- Seen at
- BERKELEY
- Years
- 2019
- Status
- draft