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The Rees Algebra of a monomial plane parametrization

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.

preprint2014arXivOpen access
Teresa Cortadellas BenitezCarlos D'Andrea
math.ACmath.AG
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Teresa Cortadellas BenitezCarlos D'Andrea

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