The characteristics of supermassive 'stars' consisting of self-gravita
ting degenerate neutrino (or neutralino) matter are studied with parti
cular emphasis on fermion masses around 17 keV/c2. Such compact dark o
bjects could be as massive as 10(9.5) to 10(6.5) Solar masses, with ra
dii of about one to ten light days; they might thus mimic phenomena th
at are expected around the supermassive black holes recently purported
at the centres of some galaxies and quasi-stellar objects.