Discriminant of a generic projection of a minimal normal surface singularity

Romain Bondil

Discriminant of a generic projection of a minimal normal surface singularity

Algebraic Geometry 2007-05-23 v1

Authors: Romain Bondil

Abstract

Let $(S,0)$ be a rational complex surface singularity with reduced fundamental cycle, also known as a {\em minimal} singularity. Using a fundamental result by M. Spivakovsky, we explain how to get a minimal resolution of the discriminant curve for a generic projection of $(S,0)$ onto $(\C^2,0)$ directly from the resolution graph of $(S,0)$ .

Keywords

rational surface singularity minimal singularity generic projection discriminant curve minimal resolution resolution graph

Cite

@article{arxiv.math/0304039,
  title  = {Discriminant of a generic projection of a minimal normal surface singularity},
  author = {Romain Bondil},
  journal= {arXiv preprint arXiv:math/0304039},
  year   = {2007}
}

Comments

February 2003. Submitted to CRAS

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