A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property

DOI10.1090/S0002-9939-2015-12612-3zbMath1312.13016arXiv1401.6216OpenAlexW2003931643MaRDI QIDQ5246865

Jason McCullough, Paolo Mantero, Alexandra Seceleanu, Craig Huneke

Publication date: 22 April 2015

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

Full work available at URL: https://arxiv.org/abs/1401.6216

zbMATH Keywords

multiplicityCohen-Macaulaygraded ringquasi-Gorenstein

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Cohen-Macaulay modules (13C14)

Related Items

The projective dimension of three cubics is at most 5, Annihilators of Koszul homologies and almost complete intersections, The projective dimension of codimension two algebras presented by quadrics, A Cayley–Bacharach theorem for points in Pn, A tight bound on the projective dimension of four quadrics

Uses Software

• CoCoA
• Macaulay2

Cites Work

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