We have discovered four AGN in the ROSAT allsky-survey data with very
steep X-ray spectra. We apply several models to these X-ray spectra wi
th emphasis on warm absorber models which give an adequate description
of the data. We report on the follow-up optical and radio observation
s which allow the identification of three of these objects as Narrow L
ine Seyfert 1 galaxies, and the fourth as BL Lac object. We have measu
red small-FWHM H beta lines, strong FeII emission and weak [OIII] emis
sion in the three Narrow Line Seyfert 1 galaxies, in line with known c
orrelations with respect to the steepness of the X-ray spectra. We hav
e discovered strong optical variability in the BL Lac object and two o
f the Seyfert galaxies using photographic plates of the Sonneberg Obse
rvatory field patrol. We finally discuss the statistical implications
of our search algorithm on the expected number density of soft X-ray s
elected AGN and conclude that up to 30% of X-ray selected AGN might: h
ave supersoft X-ray spectra.