  We generalize here the celebrated Partial Regularity Theory of Caffarelli,
Kohn and Nirenberg to the MHD equations in the framework of parabolic Morrey
spaces. This type of parabolic generalization using Morrey spaces appears to be
crucial when studying the role of the pressure in the regularity theory for the
classical Navier-Stokes equations as well as for the MHD equations.
