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Let I be an ideal of height two in R=k[x_0,x_1] generated by forms of thesame degree, and let K be the ideal of defining equations of the Rees algebraof I. Suppose that the second largest column degree in the syzygy matrix of Iis e. We give an algorithm for computing the minimal generators of K whosedegree is at least e, as well as a simple formula for the bidegrees of thesegenerators. In the case where I is an almost complete intersection, we give agenerating set for each graded piece K_(i,*) with i>=e-1.

Equations of Rees algebras of ideals in two variables