Black hole masses in Active Galactic Nuclei have been determined in 35
objects through reverberation mapping of the emission line region. I mention
some uncertainties of the method, such as the ``scale factor'' relating the
Virial Product to the mass, which depends on the unknown structure and dynamics
of the Broad Line Region.
When the black hole masses are estimated indirectly using the empirical
size-luminosity relation deduced from this method, the uncertainties can be
larger, especially when the relation is extrapolated to high and low masses
and/or luminosities. In particular they lead to Eddington ratios of the order
of unity in samples of Narrow Line Seyfert 1. As the optical-UV luminosity is
provided by the accretion disk, the accretion rates can be determined and are
found to be much larger than the Eddington rates. So, accretion must be
performed at a super-critical rate through a slim disk, resulting in rapid
growth of the black holes. The alternative is that the mass determination is
wrong at this limit.Comment: 5 pages, 2 figures. To appear in the proceedings of "Black Holes:
from Stars to Galaxies", IAU Symp. No. 238, V. Karas & G. Matt (eds.),
Cambridge University Pres