Discriminant of a generic projection of a minimal normal surface singularity

Romain Bondil (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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 $(S,0)$.

Mots clés: Minimal singularity; discriminants; apparent contour; polar curve.; polar curve

Domaines: Géométrie algébrique [math.AG]

Romain Bondil. Discriminant of a generic projection of a minimal normal surface singularity. 2003. ⟨hal-00000280⟩