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

Producció científica: Article en revista indexada › Article › Avaluat per experts

9 Cites (Scopus)

Resum

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	Anglès
Pàgines (de-a)	71-105
Nombre de pàgines	35
Revista	Journal of Symbolic Computation
Volum	70
DOIs	https://doi.org/10.1016/j.jsc.2014.09.026
Estat de la publicació	Publicada - d’oct. 2015
Publicat externament	Sí

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title = "The Rees Algebra of a monomial plane parametrization",

abstract = "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.",

keywords = "Adjoints, Monomial parametrizations, Plane curves, Primary, Rees Algebras, Secondary",

author = "\{Cortadellas Ben{\'i}tez\}, Teresa and Carlos D'Andrea",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Ltd.",

year = "2015",

month = oct,

doi = "10.1016/j.jsc.2014.09.026",

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AU - D'Andrea, Carlos

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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.

KW - Adjoints

KW - Monomial parametrizations

KW - Plane curves

KW - Primary

KW - Rees Algebras

KW - Secondary

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JO - Journal of Symbolic Computation

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ER -

The Rees Algebra of a monomial plane parametrization

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