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

Teresa Cortadellas Benitez; Carlos D'Andrea

doi:10.4153/CJM-2013-035-1

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

Teresa Cortadellas Benitez
, Carlos D'Andrea

Research output: Indexed journal article › Article › peer-review

15 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1225-1249
Number of pages	25
Journal	Canadian Journal of Mathematics-journal Canadien De Mathematiques
Volume	66
Issue number	6
DOIs	https://doi.org/10.4153/CJM-2013-035-1
Publication status	Published - Dec 2014
Externally published	Yes

Keywords

Rees Algebras
Minimal generators
Rational plane curves

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10.4153/CJM-2013-035-1

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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.",

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

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