Discriminant of a generic projection of a minimal normal surface singularity

Abstract

Let (S,0) be a rational complex surface singularity with reduced fundamental cycle, also known as a 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 (2,0) directly from the resolution graph of (S,0).

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