Weighted homogeneous surface singularities homeomorphic to Brieskorn complete intersections

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