Disproving Hibi's Conjecture with CoCoA or Projective Curves with bad Hilbert Functions

zbMath0806.14046arXivalg-geom/9202020MaRDI QIDQ3135184

Gianfranco Niesi, Lorenzo Robbiano

Publication date: 24 October 1993

Full work available at URL: https://arxiv.org/abs/alg-geom/9202020

zbMATH Keywords

\(h\)-vectorHilbert functionCohen-Macaulay integral domainGröbner bases for polynomial ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Computational aspects of algebraic curves (14Q05)

Related Items (5)

Generic quadric sections of irreducible curves ⋮ Certain projective curves with unusual Hilbert function ⋮ On maximal cayley-bacharach schemes ⋮ Non-Gorenstein locus and almost Gorenstein property of the Ehrhart ring of the stable set polytope of a cycle graph ⋮ The \(h\)-vector of a ladder determinantal ring cogenerated by \(2\times 2\) minors is log-concave

Uses Software

• CoCoA

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