Projective Closures of Affine Monomial Curves

Article Type

Research Article

Publication Title

Algebra Colloquium

Abstract

We study the projective closures of three important families of affine monomial curves in dimension 4, namely the Backelin curve, the Bresinsky curve and the Arslan curve, in order to explore possible connections between syzygies and the arithmetic Cohen-Macaulay property.

First Page

199

Last Page

228

DOI

10.1142/S1005386725000161

Publication Date

6-1-2025

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