The Rees Algebra of a monomial plane parametrization

doi:10.1016/j.jsc.2014.09.026

Journal of Symbolic Computation

Volume 70, September–October 2015, Pages 71-105

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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.

MSC

primary

13A30

secondary

05E45

14H50

Keywords

Monomial parametrizations

Plane curves

Rees Algebras

Adjoints

Cited by (0)

¹: Both authors are supported by the Research Project MTM2010-20279 from the Ministerio de Ciencia e Innovación, Spain.