Let S be a parametrized surface in P 3 given as the image of φ : P 1 × P 1 → P 3 . This paper will show that the use of syzygies in the form of a combination of moving planes and moving quadrics provides a valid method for finding the implicit equation of S when certain base points are present. This work extends the algorithm provided by Cox [5] for when φ has no base points, and it is analogous to some of the results of Busé, Cox, and D'Andrea [2] for the case when φ : P 2 → P 3 has base points.

No abstract

No abstract

No abstract

No abstract