TY - JOUR
T1 - Minimal generators of the defining ideal of the Rees Algebra associated to monoid parameterizations
AU - Cortadellas Benitez, Teresa
AU - D'Andrea, Carlos
N1 - (C) 2010 Elsevier B.V. All rights reserved.
PY - 2010/8
Y1 - 2010/8
N2 - 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 parameterizations having a syzygy of minimal degree (mu = 1). We also show that our approach can be applied to parameterizations of rational surfaces having a Hilbert-Burch resolution with mu(1) = mu(2) = 1.
AB - 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 parameterizations having a syzygy of minimal degree (mu = 1). We also show that our approach can be applied to parameterizations of rational surfaces having a Hilbert-Burch resolution with mu(1) = mu(2) = 1.
KW - Local complete intersection surfaces
KW - Monoid parametrizations
KW - Rees Algebra
UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=pure_univeritat_ramon_llull&SrcAuth=WosAPI&KeyUT=WOS:000279658000005&DestLinkType=FullRecord&DestApp=WOS_CPL
U2 - 10.1016/j.cagd.2010.04.003
DO - 10.1016/j.cagd.2010.04.003
M3 - Article
SN - 0167-8396
VL - 27
SP - 461
EP - 473
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
IS - 6
ER -