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

نویسندگان

  • Teresa Cortadellas Benítez
  • Carlos D'Andrea
چکیده

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 (μ = 1). We also show that our approach can be applied to parametrizations of rational surfaces having a Hilbert-Burch resolution with μ1 = μ2 = 1.

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عنوان ژورنال:
  • Computer Aided Geometric Design

دوره 27  شماره 

صفحات  -

تاریخ انتشار 2010