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# Minimal Generators of the Defining Ideal of the Rees Algebra Associated with a Rational Plane Parametrization with $\mu=2$

Published:2013-10-12

Universitat de Barcelona, Facultat de Formació del Professorat, Passeig de la Vall d'Hebron 171, 08035 Barcelona, Spain
• Carlos D'Andrea,
Universitat de Barcelona, Facultat de Matemàtiques, Gran Via 585, 08007 Barcelona, Spain
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## Abstract

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.
 Keywords: Rees Algebras, rational plane curves, minimal generators
 MSC Classifications: 13A30 - Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics 14H50 - Plane and space curves