Determinantal ideals and monomial curves in the three-dimensional space
classification
🧮 math.AG
math.AC
keywords
monomialdeterminantalidealset-theoreticallyspacethree-dimensionalaffinebinomial
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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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