The non-relativistic Maxwell-Chern-Simons model recently introduced by
Manton is shown to admit self-dual vortex solutions with non-zero ele
ctric field. The interrelated ''geometric'' and ''hidden'' symmetries
are explained. The theory is also extended to (non-relativistic) spino
rs. A relativistic, self-dual model, whose non-relativistic limit is t
he Manton model, is also presented. The relation to previous work is d
iscussed. (C) 1998 Academic Press.