On numerically Gorenstein quasi-simple elliptic singularities with 𝐶*-action

Abstract

Abstract.Let (X, x) be a numerically Gorenstein elliptic singularity with C*-action and n: (X, A) -► (X, x) the minimal good resolution. Assume that the central curve of n is an elliptic curve. We will determine the configuration of the w.d. graph (weighted dual graph) of A and obtain a condition for (X, x) to be a maximally elliptic singularity in the sense of Yau.