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The structure of the discriminant of some space-curve singularities

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  • Qa Mathematics


Among the space-curve singularities of the simplest type are the so called wedges D = C boolean OR L, consisting of a plane-curve singularity C together with a line L transverse to the plane of C. In this note we describe the discriminant of D in terms of C. In particular, we show that the complement of the discriminant of D is a K(pi, 1) if the complement of the discriminant of C is a K(pi, 1). We also give a formula for the multiplicity of the discriminant of C boolean OR L.

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