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arXiv · 0907.4669

Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations

Teresa Cortadellas Benitez·Carlos D'Andrea
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Abstract

We describe a minimal set of generators of the defining ideal of the Rees Algebra associated to a proper parametrization of any monoid hypersurface. In the case of plane curves, we recover a known description for rational parametrizations having a syzygy of minimal degree (\mu=1). We also show that our approach can be applied to parametrizations of rational surfaces having a Hilbert-Burch resolution with \mu_1=\mu_2=1.

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Teresa Cortadellas Benitez, Carlos D'Andrea. 2009-07-27. Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations. https://arxiv.org/abs/0907.4669

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