Quasi-determinantal rational surface singularities (Q1969655)

This paper follows from results by \textit{O. Riemenschneider} [Arch. Math. 37, 406-417 (1981; Zbl 0456.14006)] and is a generalization of the author's previous paper [\textit{T. De Jong}, Compos. Math. 113, No. 1, 67-90 (1998; Zbl 0923.14024)]. Having the dual resolution graph \(\Gamma\) of a quasideterminantal rational surface singularity, the author writes down equations, in quasideterminantal form, which define a rational surface singularity with this prescribed graph \(\Gamma\). He proves that all rational surface singularities with dual resolution graph \(\Gamma\) can be given by the equations constructed in the paper involving the quasiminors of the special quasimatrix.