The Rees Algebra of a monomial plane parametrization

Teresa Cortadellas Benítez; Carlos D'Andrea

doi:10.1016/j.jsc.2014.09.026

The Rees Algebra of a monomial plane parametrization

Teresa Cortadellas Benítez
, Carlos D'Andrea

Producción científica: Artículo en revista indizada › Artículo › revisión exhaustiva

9 Citas (Scopus)

Resumen

We compute a minimal bigraded resolution of the Rees Algebra associated to a proper rational parametrization of a monomial plane curve. We describe explicitly both the bigraded Betti numbers and the maps of the resolution in terms of a generalized version of the Euclidean Algorithm. We also explore the relation between pencils of adjoints of the monomial plane curve and elements in a suitable piece of the defining ideal of the Rees Algebra.

Idioma original	Inglés
Páginas (desde-hasta)	71-105
Número de páginas	35
Publicación	Journal of Symbolic Computation
Volumen	70
DOI	https://doi.org/10.1016/j.jsc.2014.09.026
Estado	Publicada - oct 2015
Publicado de forma externa	Sí

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AB - We compute a minimal bigraded resolution of the Rees Algebra associated to a proper rational parametrization of a monomial plane curve. We describe explicitly both the bigraded Betti numbers and the maps of the resolution in terms of a generalized version of the Euclidean Algorithm. We also explore the relation between pencils of adjoints of the monomial plane curve and elements in a suitable piece of the defining ideal of the Rees Algebra.

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KW - Monomial parametrizations

KW - Plane curves

KW - Primary

KW - Rees Algebras

KW - Secondary

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The Rees Algebra of a monomial plane parametrization

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