Log canonical threshold of du Val singularities

Abstract

In this paper, we show the log canonical threshold values of the surfaces which has du Val type singularities.These surfaces can be interpreted as statistical or machine learning models. The results of $A_n,D_n,E_6,E_7$ and $E_8$ are shown. Bacause the calculation is done on complex fileld, this result would be different from the real fileld, which is in singular learning theory.