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

Tomaru, Tadashi

doi:10.1090/S0002-9939-1994-1179594-4

On numerically Gorenstein quasi-simple elliptic singularities with $\textbf {C}^ *$-action
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Proc. Amer. Math. Soc. 120 (1994), 67-71 Request permission

Abstract:

Let $(X,x)$ be a numerically Gorenstein elliptic singularity with ${\mathbb {C}^{\ast }}$-action and $\pi :(\tilde X,A) \to (X,x)$ the minimal good resolution. Assume that the central curve of $\pi$ 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.

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Sur les modules projectifs

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Multiplicity of Gorenstein star-shaped singularities with

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