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Simple Singularities of Curves

Arnold, Vladimir (1999), Simple Singularities of Curves, Proceedings of the Steklov Institute of Mathematics, 226, p. 20-28

Type
Article accepté pour publication ou publié
Date
1999
Journal name
Proceedings of the Steklov Institute of Mathematics
Volume
226
Publisher
Springer
Pages
20-28
Metadata
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Author(s)
Arnold, Vladimir
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 / Keywords
simple curve singularities; sporadic simple curve; local algebra