An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules

DOI10.1090/conm/773/15542zbMath1489.13024arXiv2012.13517OpenAlexW3201727307MaRDI QIDQ5085331

Hema Srinivasan, Sabine El Khoury, Manoj Kummini

Publication date: 27 June 2022

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

Full work available at URL: https://arxiv.org/abs/2012.13517

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Syzygies, resolutions, complexes and commutative rings (13D02)

Uses Software

• Macaulay2
• BoijSoederberg

Cites Work

• Gorenstein Hilbert coefficients
• The existence of equivariant pure free resolutions
• Hilbert functions of filtered modules
• A note on the multiplicities of Gorenstein algebras
• The Hilbert function of the Ratliff-Rush filtration.
• On the first normalized Hilbert coefficient
• Betti numbers of graded modules and cohomology of vector bundles
• On the bettinumbers of finite pure and linear resolutions
• Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture
• Bounds for multiplicities
• Bounding the first Hilbert coefficient
• Bounds for the multiplicity of Gorenstein algebras
• Bounds for Hilbert coefficients
• Unnamed Item
• Unnamed Item

This page was built for publication: An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules