The Rees Algebra of a monomial plane parametrization
Commutative Algebra
2014-09-16 v3 Algebraic Geometry
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.
Cite
@article{arxiv.1311.5488,
title = {The Rees Algebra of a monomial plane parametrization},
author = {Teresa Cortadellas Benitez and Carlos D'Andrea},
journal= {arXiv preprint arXiv:1311.5488},
year = {2014}
}
Comments
36 pages, latex file. Revised version accepted for publication in the Journal of Symbolic Computation