Minimal graded free resolutions for monomial curves in 𝔸4defined by almost arithmetic sequences

DOI10.1080/00927872.2016.1175580zbMath1368.13013arXiv1503.02687OpenAlexW2963093232MaRDI QIDQ2980260

Indranath Sengupta, Gaurab Tripathi, Achintya Roy

Publication date: 28 April 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02687

zbMATH Keywords

Betti numbersmonomial curvesminimal free resolutionsalmost arithmetic sequences

Mathematics Subject Classification ID

Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Syzygies of \textit{GS} monomial curves and Weierstrass property ⋮ Affine monomial curves ⋮ Numerical Semigroup Rings of Maximal Embedding Dimension with Determinantal Defining Ideals

Cites Work

• Periodicity of Betti numbers of monomial curves
• Graded syzygies
• Generators for the derivation modules and the relation ideals of certain curves
• Certain monomial curves are set-theoretic complete intersections
• Minimal sets of generators for the relation ideals of certain monomial curves
• Minimal graded free resolutions for monomial curves defined by arithmetic sequences
• Generators and relations of abelian semigroups and semigroup rings
• A Minimal Free Resolution for Certain Monomial Curves in 𝔸⁴
• Minimal set of generators for the derivation module of certain monomial curves
• A Gröbner Basis for Certain Affine Monomial Curves

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