The Rees algebra of parametric curves via liftings

Teresa Cortadellas Benítez; David A. Cox; Carlos D'Andrea

doi:10.1016/j.jpaa.2019.06.015

The Rees algebra of parametric curves via liftings

Teresa Cortadellas Benítez
, David A. Cox
, Carlos D'Andrea^*

^*Autor corresponent d’aquest treball

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

Resum

We study the defining equations of the Rees algebra of ideals arising from curve parametrizations in the plane and in rational normal scrolls, inspired by the work of Madsen and Kustin, Polini and Ulrich. The curves are related by work of Bernardi, Gimigliano, and Idá, and we use this framework to relate the defining equations.

Idioma original	Anglès
Pàgines (de-a)	869-893
Nombre de pàgines	25
Revista	Journal of Pure and Applied Algebra
Volum	224
Número	2
DOIs	https://doi.org/10.1016/j.jpaa.2019.06.015
Estat de la publicació	Publicada - de febr. 2020
Publicat externament	Sí

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title = "The Rees algebra of parametric curves via liftings",

abstract = "We study the defining equations of the Rees algebra of ideals arising from curve parametrizations in the plane and in rational normal scrolls, inspired by the work of Madsen and Kustin, Polini and Ulrich. The curves are related by work of Bernardi, Gimigliano, and Id{\'a}, and we use this framework to relate the defining equations.",

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

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2020",

month = feb,

doi = "10.1016/j.jpaa.2019.06.015",

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AB - We study the defining equations of the Rees algebra of ideals arising from curve parametrizations in the plane and in rational normal scrolls, inspired by the work of Madsen and Kustin, Polini and Ulrich. The curves are related by work of Bernardi, Gimigliano, and Idá, and we use this framework to relate the defining equations.

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The Rees algebra of parametric curves via liftings

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