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Parametrization of Algebraic Curves from a Number Theorist’s Point of View

F. Lemmermeyer
The American Mathematical Monthly
Vol. 119, No. 7 (August?September 2012), pp. 573-583
DOI: 10.4169/amer.math.monthly.119.07.573
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.119.07.573
Page Count: 11
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Parametrization of Algebraic Curves from a Number Theorist’s Point of
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Abstract

Abstract 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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