Moduli Space Of Reinhardt Domain On Variety With A Special Quotient Singularity

One of the most fundamental problems in several complex variable is to deter-mine when two marked domains in C~nare biholomorphically equivalent.It is still unsolved.Many famous mathematicians have done a lot towards this question.Within them,Stephen Yau put forward the idea of using Bergman functions to study two marked Reinhardt domains,which gives a new method to deal with this problem,especially on some domains in singular affine varieties.Based on previous studies,in this paper we do some research on the biholomorphic equivalent problem on a bounded domains with special rational triple singularities in affine varieties,and gives a necessary and sufficient condition to determine whether two marked Reinhardt domains are biholomorphically equivalent.