  Properties of the ground and several collective excited states of the light
nuclei ^{30,32,34}Mg are described in the framework of the angular momentum
projected Generator Coordinate Method using the quadrupole moment as collective
coordinate and the Gogny force as the effective interaction. The calculated
excitation energies and B(E2) transition probabilities agree reasonably well
with experiment. The results clearly indicate that both the restoration of the
rotational symmetry and the quadrupole dynamics are key ingredients for the
description of the properties of the above mentioned nuclei.
