On minimal free resolution of the associated graded rings of certain monomial curves : New proofs in A⁴

DOI10.31801/cfsuasmas.501449zbMath1487.13045OpenAlexW2906086801WikidataQ113701486 ScholiaQ113701486MaRDI QIDQ5865876

Pinar Mete, Esra Emine Zengin

Publication date: 10 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.501449

zbMATH Keywords

minimal free resolutiontangent coneCohen-Macaulaynessmonomial curveHilbert function of a local ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Singularities of curves, local rings (14H20)

Uses Software

• SINGULAR

Cites Work

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• Deformations and smoothability of certain AS monomial curves
• Hilbert functions of filtered modules
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• On the Hilbert function of certain non Cohen-Macaulay one-dimensional rings
• Minimal sets of generators for the relation ideals of certain monomial curves
• On the Hilbert function of certain rings of monomial curves
• Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences
• What makes a complex exact?
• Minimal free resolution of a finitely generated module over a regular local ring
• Minimal free resolutions for certain affine monomial curve
• A Minimal Free Resolution for Certain Monomial Curves in 𝔸⁴
• A Gröbner Basis for Certain Affine Monomial Curves
• Cohen-Macaulayness of tangent cones

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