On the simplicity of multigerms

Raúl Oset Sinha; Maria Aparecida Soares Ruas; Roberta Wik Atique

On the simplicity of multigerms

Complex Variables 2016-09-13 v2 Algebraic Geometry

Authors: Raúl Oset Sinha , Maria Aparecida Soares Ruas , Roberta Wik Atique

Abstract

We prove several results regarding the simplicity of germs and multigerms obtained via the operations of augmentation, simultaneous augmentation and concatenation and generalised concatenation. We also give some results in the case where one of the branches is a non stable primitive germ. Using our results we obtain a list which includes all simple multigerms from $\mathbb C^3$ to $\mathbb C^3$ .

Cite

@article{arxiv.1509.02688,
  title  = {On the simplicity of multigerms},
  author = {Raúl Oset Sinha and Maria Aparecida Soares Ruas and Roberta Wik Atique},
  journal= {arXiv preprint arXiv:1509.02688},
  year   = {2016}
}

Comments

26 pages, to appear in Mathematica Scandinavica. Second version adds two families that were missing in Table 2

On the simplicity of multigerms

Abstract

Cite

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