caa a22 4500 463203224 CHVBK 20180405153118.0 cr unu---uuuuu 170326e20071001xx s 000 0 eng 10.1007/s00200-007-0050-0 doi (NATIONALLICENCE)springer-10.1007/s00200-007-0050-0 Polynomial parametrization of nonsingular complete intersection curves [Elektronische Daten] [Toufiq Benbouziane, Hassan El Houari, M'hammed El Kahoui] In this paper we give a new method to compute a polynomial parametrization, in case it exists, of an affine nonsingular complete intersection curve. Our method is based on the study of vector fields on nonsingular algebraic curves. In contrast to the existing methods, our algorithm does not use any projection, and no sample point on the curve is needed. It is also important to stress the fact that the algorithm produces a parametrization with coefficients in the ground field. Springer-Verlag, 2007 Complete intersection nationallicence Locally nilpotent derivation nationallicence Polynomial parametrization nationallicence Benbouziane Toufiq Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P. O. Box 2390, Marrakech, Morocco aut El Houari Hassan Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P. O. Box 2390, Marrakech, Morocco aut El Kahoui M'hammed Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P. O. Box 2390, Marrakech, Morocco aut Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/5(2007-10-01), 483-493 0938-1279 18:5<483 2007 18 200 https://doi.org/10.1007/s00200-007-0050-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00200-007-0050-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Benbouziane Toufiq Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P. O. Box 2390, Marrakech, Morocco aut NATIONALLICENCE 700 1- El Houari Hassan Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P. O. Box 2390, Marrakech, Morocco aut NATIONALLICENCE 700 1- El Kahoui M'hammed Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P. O. Box 2390, Marrakech, Morocco aut NATIONALLICENCE 773 0- Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/5(2007-10-01), 483-493 0938-1279 18:5<483 2007 18 200 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer