  The angular momentum projected Generator Coordinate Method, with the
quadrupole moment as collective coordinate and the Gogny force (D1S) as the
effective interaction, is used to describe the properties of the ground state
and low-lying excited states of the even-even Neon isotopes $^{20-34}$Ne, that
is, from the stability valley up to the drip-line. It is found that the ground
state of the N=20 nucleus $^{30}$Ne is deformed but to a lesser extent than the
N=20 isotope of the Magnesium. In the calculations, the isotope $^{32}$Ne is at
the drip-line in good agreement with other theoretical predictions. On the
other hand, rather good agreement with experimental data for many observables
is obtained.
