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On complete intersection projective closures of monomial curves

Year: 2026
Type: preprint
Abstract: 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 characterization of when the defining ideals of their projective closures are complete intersections. We also investigate when the projective closures are arithmetically Cohen--Macaulay.
Open Access status: green
OpenAlex ID: W7169794111
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