Determinantal ideals and monomial curves in the three-dimensional space

Margherita Barile

Published 2005-11-11Version 1

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 $2\times 3$ matrix with monomial entries.