Title
Radical parametrizations of algebraic curves by adjoint curves
Abstract
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
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 Sendra162168.33
David Sevilla2707.60