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arXiv · 0805.3214

Radical Parametrization of Algebraic Curves by Adjoint Curves

J. Rafael Sendra·David Sevilla
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Abstract

We present algorithms for parametrizing by radicals an irreducible curve, not necessarily plane, when the genus is less o equal to 4 and they are defined over an algebraically closed field of characteristic zero. In addition, we also present an algorithm for parametrizing by radicals any irreducible plane curve of degree $d$ having at least a point of multiplicity $d-r$, with $1\leq r \leq 4$ and, as a consequence, every irreducible plane curve of degree $d \leq 5$ and every irreducible singular plane curve of degree 6.

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J. Rafael Sendra, David Sevilla. 2010-09-20. Radical Parametrization of Algebraic Curves by Adjoint Curves. https://doi.org/10.1016/j.jsc.2011.05.005

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