Determinantal ideals and monomial curves in the three-dimensional space
Algebraic Geometry
2007-06-13 v1 Commutative Algebra
Abstract
We show that the defining ideal of every monomial curve in the affine or projective three-dimensional space can be set-theoretically defined by three binomial equations, two of which set-theoretically define a determinantal ideal generated by the 2-minors of a matrix with monomial entries.
Cite
@article{arxiv.math/0511291,
title = {Determinantal ideals and monomial curves in the three-dimensional space},
author = {Margherita Barile},
journal= {arXiv preprint arXiv:math/0511291},
year = {2007}
}