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Minimal Generators of the Defining Ideal of the Rees Algebra Associated with a Rational Plane Parametrization with μ = 2

Published online by Cambridge University Press:  20 November 2018

Teresa Cortadellas Benítez  and
Carlos D'Andrea
Teresa Cortadellas Benítez
Affiliation:
Universitat de Barcelona, Facultat de Formació del Professorat, 08035 Barcelona, Spain. e-mail: terecortadellas@ub.edu
Carlos D'Andrea
Affiliation:
Universitat de Barcelona, Facultat de Matemàtiques, 08007 Barcelona, Spain. e-mail: cdandrea@ub.edu
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Abstract

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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

13A3014H50Rees Algebrasrational plane curvesminimal generators
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 66 , Issue 6 , 01 December 2014 , pp. 1225 - 1249
Copyright
Copyright © Canadian Mathematical Society 2014

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