• Corpus ID: 239050175

Resolving singularities of curves with one toric morphism

@inproceedings{Felipe2021ResolvingSO,
  title={Resolving singularities of curves with one toric morphism},
  author={A. B. de Felipe and Pedro D. Gonz'alez P'erez and Hussein Mourtada},
  year={2021}
}
We give an explicit positive answer, in the case of reduced curve singularities, to a question of B. Teissier about the existence of a toric embedded resolution after reembedding. In the case of a curve singularity pC,Oq contained in a non singular surface S such a reembedding may be defined in terms of a sequence of maximal contact curves associated to C. We prove that there exists a toric modification, after reembedding, which provides an embedded resolution of C. We use properties of the… 

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