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On the Intersection of Two Plane Curves

On the Intersection of Two Plane Curves

= dm−(d−1)(d− 2)/2 for m ≥ d. However, this is simply false for m ≥ d ≥ 3 bythe following construction.Let L be a bitangent (or flex) line to D. Since D is general, Lmeets D at d − 2 distinct points. Let L(X,Y,Z) and D(X,Y,Z) bethe homogeneous defining equations …