Simple singularities of multigerms of curves.

Pavel A. Kolgushkin; Ruslan R. Sadykov

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 2, page 311-344
  • ISSN: 1139-1138

Abstract

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

How to cite

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Kolgushkin, Pavel A., and Sadykov, Ruslan R.. "Simple singularities of multigerms of curves.." Revista Matemática Complutense 14.2 (2001): 311-344. <http://eudml.org/doc/44398>.

@article{Kolgushkin2001,
abstract = {We classify stably simple reducible curve singularities in complex spaces of any dimension. This extends the same classification of irreducible curve singuarities obtained by V. I. Arnold. The proof is essentially based on the method of complete transversals by J. Bruce et al.},
author = {Kolgushkin, Pavel A., Sadykov, Ruslan R.},
journal = {Revista Matemática Complutense},
keywords = {Curvas espaciales; Singularidades; Gérmenes de funciones},
language = {eng},
number = {2},
pages = {311-344},
title = {Simple singularities of multigerms of curves.},
url = {http://eudml.org/doc/44398},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Kolgushkin, Pavel A.
AU - Sadykov, Ruslan R.
TI - Simple singularities of multigerms of curves.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 2
SP - 311
EP - 344
AB - We classify stably simple reducible curve singularities in complex spaces of any dimension. This extends the same classification of irreducible curve singuarities obtained by V. I. Arnold. The proof is essentially based on the method of complete transversals by J. Bruce et al.
LA - eng
KW - Curvas espaciales; Singularidades; Gérmenes de funciones
UR - http://eudml.org/doc/44398
ER -

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