Improving the bounds of the multiplicity conjecture: The codimension 3 level case

DOI10.1016/j.jpaa.2006.05.017zbMath1116.13023arXivmath/0511308OpenAlexW2056188633WikidataQ123004377 ScholiaQ123004377MaRDI QIDQ863896

Fabrizio Zanello

Publication date: 12 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511308

zbMATH Keywords

\(h\)-vectorHilbert functionlevel algebramultiplicity conjecture

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items

On the upper bound of the multiplicity conjecture ⋮ An Improved Multiplicity Conjecture for Codimension 3 Gorenstein Algebras

Uses Software

• CoCoA

Cites Work

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• The multiplicity conjecture in low codimensions
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• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Extending the idea of compressed algebra to arbitrary socle-vectors. II: Cases of non-existence
• Notes on the multiplicity conjecture
• New approaches to bounding the multiplicity of an ideal
• Powers of complete intersections: Graded Betti numbers and applications
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• The Hilbert function of a level algebra
• Extensions of the Multiplicity conjecture
• A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions
• Bounds for multiplicities
• Level Algebras of Type 2
• When Is There a Unique Socle-Vector Associated to a Givenh-Vector?

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