Abstract:
In the present paper, we classify the local singularities of chord sets, i.e., of the envelopes of two-parameter families of straight lines connecting pairs of points on two smooth curves in $\mathbb R^3$; we also present geometric criteria for the chord set to have a given local singularity.
Keywords:smooth curves in $\mathbb R^3$, chord set, local singularity, smooth curve, germ of a curve, diffeomorphism, projective invariance.
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