Abstract:
This paper discusses a technique to simplify a general cubic surface equation in the
projective space to form a normal form z2=f(x,y) , in which f ( x, y) is a polynomial of degree four. The process is started by simplifying the cubic surface equation in the projective space into a cubic surfaces in an affine space, then followed by some tranformation to obtain an explicit and simpler form of a normal equation z2 = f(x,y).