Bounds for Hilbert coefficients

DOI10.1090/S0002-9939-08-09551-8zbMath1162.13010arXiv0706.0400OpenAlexW2136580112MaRDI QIDQ5901426

Jürgen Herzog, Xinxian Zheng

Publication date: 25 February 2009

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

Full work available at URL: https://arxiv.org/abs/0706.0400

zbMATH Keywords

multiplicityHilbert coefficientspure resolutions

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)

Related Items (4)

Gorenstein Hilbert coefficients ⋮ An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules ⋮ Bounds for the multiplicity of Gorenstein algebras ⋮ On the Hilbert Coefficients and Betti Numbers of the Stanley-Reisner Ring of a Matroid Complex

Uses Software

• BoijSoederberg

Cites Work

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• Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case
• On the bettinumbers of finite pure and linear resolutions
• Bounds for multiplicities

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