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

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

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	71-105
Number of pages	35
Journal	Journal of Symbolic Computation
Volume	70
DOIs	https://doi.org/10.1016/j.jsc.2014.09.026
Publication status	Published - Oct 2015
Externally published	Yes

Keywords

Adjoints
Monomial parametrizations
Plane curves
Primary
Rees Algebras
Secondary

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10.1016/j.jsc.2014.09.026Licence: Other

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KW - Plane curves

KW - Primary

KW - Rees Algebras

KW - Secondary

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The Rees Algebra of a monomial plane parametrization

Abstract

Keywords

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