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 × 3 matrix with monomial entries.
Determinantal ideals and monomial curves in the three-dimensional space
BARILE, Margherita
2007-01-01
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 2 × 3 matrix with monomial entries.File in questo prodotto:
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