Based on the fact that projective monomial curves in the plane are completeintersections, we give an effective inductive method for creating infinitelymany monomial curves in the projective $n$-space that are set theoreticcomplete intersections. We illustrate our main result by giving differentinfinite families of examples. Our proof is constructive and provides onebinomial and $(n-2)$ polynomial explicit equations for the hypersurfacescutting out the curve in question.
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机译：基于平面上的投影单项曲线是完整的相交的事实，我们给出了一种有效的归纳方法，用于在投影的$ n $空间中创建设置为理论完全相交的无限多的单项曲线。我们通过给出不同的示例无限家族来说明我们的主要结果。我们的证明是有建设性的，并提供了一个单项式和$（n-2）$多项式显式方程式，用于将曲面超剪出。
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