  For a given topological type of a normal surface singularity, there are
various types of complex structures which realize it. We are interested in the
following problem: Find the maximum of the geometric genus and a condition for
that the maximal ideal cycle coincides with the undamental cycle on the minimal
good resolution. In this paper, we study weighted homogeneous surface
singularities homeomorphic to Brieskorn complete intersection singularities
from the perspective of the problem.
