We study the vortex solutions in a multicomponent Zhang-Hansson-Kivelson mo
del for the fractional quantum Hall effect, at the self-dual point. Vortice
s with minimal free energy represent Laughlin quasiholes. We find at least
two classes of solutions. distinguished by their global invariance, or by t
he number of conserved charges. (C) 2001 Elsevier Science B.V. All rights r
eserved.