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^*

^*Corresponding author for this work

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

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 Idá, and we use this framework to relate the defining equations.

Original language	English
Pages (from-to)	869-893
Number of pages	25
Journal	Journal of Pure and Applied Algebra
Volume	224
Issue number	2
DOIs	https://doi.org/10.1016/j.jpaa.2019.06.015
Publication status	Published - Feb 2020
Externally published	Yes

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The Rees algebra of parametric curves via liftings

Abstract

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