Prove that \[ (x^n+y^n+z^n)\subset\mathbb C[x,y,z] \] is a prime ideal for every integer \(n>0\).
Primality of the Fermat hypersurface ideal in $\mathbb C[x,y,z]$
P-UNL970953-04-AG1
- Area
- Algebraic Geometry
- Seen at
- UNL
- Years
- 2004
- Status
- draft
P-UNL970953-04-AG1
Prove that \[ (x^n+y^n+z^n)\subset\mathbb C[x,y,z] \] is a prime ideal for every integer \(n>0\).