Bounds for the multiplicity of Gorenstein algebras

DOI10.1090/S0002-9939-2014-12275-1zbMath1314.13026arXiv1211.1316MaRDI QIDQ5496236

Sabine El Khoury, Manoj Kummini, Hema Srinivasan

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1316

zbMATH Keywords

Hilbert-Samuel multiplicitygraded Betti numbers, Gorenstein rings

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules ⋮ Non-simplicial decompositions of Betti diagrams of complete intersections ⋮ Recursive strategy for decomposing Betti tables of complete intersections

Uses Software

• Macaulay2
• BoijSoederberg

Cites Work

• Unnamed Item
• Gorenstein Hilbert coefficients
• The existence of equivariant pure free resolutions
• A note on the multiplicities of Gorenstein algebras
• Boij-S\"oderberg theory: Introduction and survey
• Betti numbers of graded modules and cohomology of vector bundles
• Betti Numbers of Syzygies and Cohomology of Coherent Sheaves
• On the bettinumbers of finite pure and linear resolutions
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
• Bounds for multiplicities
• An Improved Multiplicity Conjecture for Codimension 3 Gorenstein Algebras
• Bounds for Hilbert coefficients

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