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On complete intersection projective closures of monomial curves

2026/07/16 by Anargyros Katsabekis
#math.AC #math.AG

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Abstract

In this paper, we study the complete intersection property of projective closures of affine monomial curves. For monomial curves in the four-dimensional affine space, we give a complete and explicit characterization of when the defining ideals of their projective closures are complete intersections. We also investigate when the projective closures are arithmetically Cohen--Macaulay.

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