Full paper in PDF:
$%P. A. Kolgushkin and R. R. Sadykov, Simple singularities of multigerms of curves, Rev. Mat. Complut. 14 (2001), no. 2, 311344.%$

Simple Singularities of Multigerms of Curves
Pavel A. KOLGUSHKIN and Rustam R. SADYKOV
Moscow State University
Faculty of Mechanics and Mathematics
Moscow 119899 — Russia

Received: October 2, 2000
Revised: January 24, 2001

ABSTRACT

We classify stably simple reducible curve singularities in complex spaces of any dimension. This extends the same classification of irreducible curve singularities obtained by V. I. Arnold. The proof is essentially based on the method of complete transversals by J. Bruce et al.

2000 Mathematics Subject Classification: 14B05, 14H50.