On Numerically Gorenstein Quasi-Simple Elliptic Singularities with C-Action

Let (X, x) be a numerically Gorenstein elliptic singularity with C*-action and π: (X̃, A) → (X, x) the minimal good resolution. Assume that the central curve of π 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)...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1994-01, Vol.120 (1), p.67-71
Main Author: Tomaru, Tadashi
Format: Article
Language:English
Subjects:
Algebra
Algebraic geometry
Exact sciences and technology
Mathematical rings
Mathematical theorems
Mathematics
Meromorphic functions
Sciences and techniques of general use
Online Access:Get full text
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Summary:Let (X, x) be a numerically Gorenstein elliptic singularity with C*-action and π: (X̃, A) → (X, x) the minimal good resolution. Assume that the central curve of π 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.
ISSN:0002-9939
1088-6826
DOI:10.2307/2160167