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arxiv: 1108.6219 · v1 · pith:KIQI6LWWnew · submitted 2011-08-31 · 🧮 math.NT

Parametrizing Algebraic Curves

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keywords curvesalgebraicbeautifulcannotdegreefunctionskapfererknown
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We present the technique of parametrization of plane algebraic curves from a number theorist's point of view and present Kapferer's simple and beautiful (but little known) proof that nonsingular curves of degree > 2 cannot be parametrized by rational functions.

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