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Equisingularity of map germs from a surface to the plane

By Juan José Nuño-Ballesteros

Also appears in collection : Geometry of singular spaces and maps / Géométrie des espaces et applications singuliers

Let $(X,0)$ be an ICIS of dimension $2$ and let $f :(X,0)\to\mathbb{C} ^2$ be a map germ with an isolated instability. Given $F : (\mathcal{X} , 0) \to (\mathbb{C} \times \mathbb{C}^2, 0)$ a stable unfolding of $f$, we look to the invariants related to the family $f_s$ and we find relations between them. We obtain necessary and sufficient conditions for $F$ to be Whitney equisingular. (Joint work with B. Orfice-Okamoto and J. N. Tomazella)

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Citation data

  • DOI 10.24350/CIRM.V.18720003
  • Cite this video Nuño-Ballesteros, Juan José (04/03/2015). Equisingularity of map germs from a surface to the plane. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18720003
  • URL https://dx.doi.org/10.24350/CIRM.V.18720003

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