Calculation system for the dual graph of resolution of the algebraic curve singularities using Risa/Asir

In this paper, we introduce a method of generating the dual graph of the minimal normal resolution of the algebraic curve singularities. Using factorization of polynomials over algebraic extension field, we can calculate the dual graph from the coefficients of the given polynomial exactly. The computing process includes no approximation. We constructed the system to generate the dual graph on Risa/Asir. Users can get the resulting dual graph by the list form and also by the graphical form.