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arXiv · 2607.15366

On complete intersection projective closures of monomial curves

Anargyros Katsabekis
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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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Anargyros Katsabekis. 2026-07-16. On complete intersection projective closures of monomial curves. https://arxiv.org/abs/2607.15366

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