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Determinantal ideals and monomial curves in the three-dimensional space

Margherita Barile
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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 $2\times 3$ matrix with monomial entries.

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Margherita Barile. 2005-11-11. Determinantal ideals and monomial curves in the three-dimensional space. https://doi.org/10.1142/s0219498807002272

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