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Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations by Benitez, Teresa Cortadellas; D'Andrea, Carlos is a scholarly article available to read on EtoBox.

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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.

Author

Benitez, Teresa Cortadellas; D'Andrea, Carlos

Published

2009

Language

EN