Based on the fact that projective monomial curves in the plane are complete intersections, we give an effective inductive method for creating infinitely many monomial curves in the projective $n$-space that are set theoretic complete intersections. We illustrate our main result by giving different infinite families of examples. Our proof is constructive and provides one binomial and $(n-2)$ polynomial explicit equations for the hypersurfaces cutting out the curve in question.
"Equations Defining Recursive Extensions as Set Theoretic Complete Intersections." Tokyo J. Math. 38 (1) 273 - 282, June 2015. https://doi.org/10.3836/tjm/1437506249