On Symmetric Monomial curves in P3

In 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.

Anahtar Kelimeler:

Set-theoretic complete intersections, monomial curves.

On Symmetric Monomial curves in P3

Keywords:

Set-theoretic complete intersections, monomial curves.,

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Department of Mathematics, Atılım University, , Ankara-TURKEY e-mail: mesut@atilim.edu.tr