We calculate the spin- and temperature-dependent local density of states fo
r ferromagnetic Ni in the presence of a core hole at a distinguished site i
n the lattice. Correlations among the valence electrons and between valence
and core electrons are described within a multi-band Hubbard model which i
s treated by means of second-order perturbation theory around the Hartree-F
ock solution. The core-hole potential causes strong screening effects in th
e Ni valence band. The local magnetic moment is found to be decreased by a
factor of 5-6. The consequences for the spin polarisation of CVV Auger elec
trons are discussed.