F = {p_{1}, p_{2}} where p_{1} = xy^{2} + (x^{2} - 1)y - x. and p_{2} = y^{2} - xy. |

- Choose an ordering for the variables
*x*and*y*such the next question is easy to solve. - Compute the resultant of
*p*_{1}and*p*_{2}regarded as univariate polynomials w.r.t. their main variable.**Hint.**Use the Sylvester matrix. - Compute a triangular decomposition of
*V*(*F*).

2005-02-04