Simple Singularities of Curves
Arnold, Vladimir (1999), Simple Singularities of Curves, Proceedings of the Steklov Institute of Mathematics, 226, p. 20-28
TypeArticle accepté pour publication ou publié
Journal nameProceedings of the Steklov Institute of Mathematics
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Abstract (EN)A singularity of a curve means the germ of a holomorphic map of the complex line into complex space at a singular point. Simple singularities of plane curves were classiﬁed by J. W. Bruce and T. J. Gaffney, and simple singularities of space curves by C. G. Gibson and C. A. Hobbs. In this work the singularities of curves in a target of any dimension are investigated. The author gives a complete classiﬁcation of simple singularities of curves of any dimension. He also treats the relation expected between this classiﬁcation and the AD E classiﬁcations.
Subjects / Keywordssimple curve singularities; sporadic simple curve; local algebra
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