Cohen-Macaulay criteria for projective monomial curves via Gr\"obner bases
J\"urgen Herzog, Dumitru I. Stamate
TL;DR
This paper introduces new criteria based on Gr"obner bases to determine when a projective monomial curve is Cohen-Macaulay, providing a computational approach to a classical algebraic geometry problem.
Contribution
It offers novel Gr"obner basis-based characterizations for Cohen-Macaulayness of projective monomial curves, advancing algebraic and computational methods.
Findings
New Gr"obner basis criteria for Cohen-Macaulay property
Characterizations applicable to a broad class of monomial curves
Enhanced computational tools for algebraic geometry
Abstract
We prove new characterizations based on Gr\"obner bases for the Cohen-Macaulay property of a projective monomial curve.
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