On quadratic polynomial mappings $f: \Bbb C^2 \to \Bbb C^2$
  We show that up to linear equivalence, there is only finitely many polynomial quadratic mappings $f:\Bbb C^2\to\Bbb C^2$ and $f:\Bbb R^2\to \Bbb R^2.$ We list all possibilities. 
M. Farnik, Z. Jelonek
math.CV math.AG