Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations
arXiv:0907.4669
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 (μ=1). We also show that our approach can be applied to parametrizations of rational surfaces having a Hilbert-Burch resolution with μ_1=μ_2=1.
arXiv comment17 pages, amsart latex, revised version accepted for publication in the Journal Computer Aided Geometric Design.