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Article Citation - WoS: 3Citation - Scopus: 2On Symmetric Monomial Curves in P3(Tubitak Scientific & Technological Research Council Turkey, 2009) Sahin, MesutIn this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections. The proof is constructive and provides the equations of the surfaces cutting out the monomial curve.Article Citation - WoS: 7Producing Set-Theoretic Complete Intersection Monomial Curves in Pn<(Amer Mathematical Soc, 2009) Sahin, MesutIn this paper we describe an algorithm for producing infinitely many examples of set-theoretic complete intersection monomial curves in Pn+1, starting with a single set-theoretic complete intersection monomial curve in P-n. Moreover we investigate the numerical criteria to decide when these monomial curves can or cannot be obtained via semigroup gluing.

