We exhibit a set of minimal generators of the defining ideal of the
Rees Algebra associated with the ideal of three bivariate homogeneous
polynomials parametrizing a proper rational curve in projective plane,
having a minimal syzygy of degree 2.
Rees Algebras, rational plane curves, minimal generators
13A30 - Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics
14H50 - Plane and space curves