Producing Set Theoretic Complete Intersection Monomial Curves in P^n

Abstract

In this paper we produce infinitely many examples of set-theoretic complete intersection monomial curves in ${\mathbb{P}}^{n+1}$, starting with a set-theoretic complete intersection monomial curve in ${\mathbb{P}}^n$ . In most of the cases our results cannot be obtained through semigroup gluing technique and we can tell apart explicitly which cases are new.

10 pages, the last revision which is accepted by Proc. Amer. Math. Soc. for publication