  In this paper, we study the two natural polarizations, namely the standard
polarization and the box polarization, of the d-th power of the maximal ideal
in a polynomial ring. We show that these polarizations correspond to smooth
points in the Hilbert scheme, and we calculate the dimension of their component
which shows that they lie on different components. When d=2, we show that all
maximal polarizations are smooth points, and we give a simple method for
calculating the dimension of their component.
