Abstract | ||
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We present algorithms for parametrizing by radicals an irreducible curve, not necessarily plane, when the genus is less than or equal to 4 and the curve is 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@?r@?4 and, as a consequence, every irreducible plane curve of degree d@?5 and every irreducible singular plane curve of degree 6. |
Year | DOI | Venue |
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2011 | 10.1016/j.jsc.2011.05.005 | J. Symb. Comput. |
Keywords | DocType | Volume |
irreducible plane curve,radical parametrizations,algebraic curve,characteristic zero,Conchoids,multiplicity d-r,adjoint curve,present algorithm,irreducible curve,irreducible singular plane curve,Offset curves,Parametrization by adjoint curves,Radical parametrization | Journal | 46 |
Issue | ISSN | Citations |
9 | Journal of Symbolic Computation | 11 |
PageRank | References | Authors |
0.77 | 3 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
J. Rafael Sendra | 1 | 621 | 68.33 |
David Sevilla | 2 | 70 | 7.60 |