A CHARACTERIZATION OF THE VANISHING OF THE SECOND PLURIGENUS FOR NORMAL SURFACE SINGULARITIES

Title & Authors
A CHARACTERIZATION OF THE VANISHING OF THE SECOND PLURIGENUS FOR NORMAL SURFACE SINGULARITIES

Abstract
In the study of normal (complex analytic) surface singularities, it is interesting to investigate the invariants. The purpose of this paper is to give a characterization of the vanishing of $\small{{\delta}_2}$. In [11], we gave characterizations of minimally elliptic singularities and rational triple points in terms of th.. second plurigenera $\small{{\delta}_2}$ and $\small{{\gamma}_2}$. In this paper, we also give a characterization of rational triple points in terms of a certain computation sequence. To prove our main theorems, we give two formulae for $\small{{\delta}_2}$ and $\small{{\gamma}_2}$ of rational surface singularities.
Keywords
second plurigenus;rational surface singularity;rational triple points;
Language
English
Cited by
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