Periodicity of Betti numbers of monomial curves

DOI10.1016/j.jalgebra.2014.07.007zbMath1317.13037arXiv1304.1659OpenAlexW2963143821MaRDI QIDQ406349

Thanh Vu

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1304.1659

zbMATH Keywords

monomial curvesperiodicity of Betti numbers

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items (14)

On intersections of complete intersection ideals ⋮ On the occurrence of complete intersections in shifted families of numerical semigroups ⋮ Asymptotic properties in the shifted family of a numerical semigroup with few generators ⋮ Factorizations of the same length in abelian monoids ⋮ Projective closure of Gorenstein monomial curves and the Cohen-Macaulay property ⋮ On parametrized families of numerical semigroups ⋮ Minimal presentations of shifted numerical monoids ⋮ Minimal graded free resolutions for monomial curves in 𝔸⁴defined by almost arithmetic sequences ⋮ Dilatations of numerical semigroups ⋮ Homogeneous numerical semigroups ⋮ Canonical trace ideal and residue for numerical semigroup rings ⋮ On minimal presentations of shifted affine semigroups with few generators ⋮ Apéry sets of shifted numerical monoids ⋮ Cohen-Macaulay criteria for projective monomial curves via Gröbner bases

Uses Software

• Macaulay2

Cites Work

• Minimal sets of generators for the relation ideals of certain monomial curves
• Semigroup rings and simplicial complexes
• Minimal graded free resolutions for monomial curves defined by arithmetic sequences
• Generators and relations of abelian semigroups and semigroup rings
• Periodic occurrence of complete intersection monomial curves
• Higher order relations for a numerical semigroup
• On Prime Ideals with Generic Zero x i = t n i
• Componentwise linear ideals

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