Characterizing finite length local cohomology in terms of bounds on Koszul cohomology

DOI10.1016/j.jalgebra.2019.09.026zbMath1430.13024arXiv1810.01359OpenAlexW2981781118MaRDI QIDQ2333367

Patricia Klein

Publication date: 12 November 2019

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

Full work available at URL: https://arxiv.org/abs/1810.01359

zbMATH Keywords

Koszul cohomologylocal cohomologyHilbert-Samuel multiplicitiesLech's inequality

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items (1)

Asymptotic Lech's inequality

Cites Work

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• Normalization of ideals and Briançon-Skoda numbers
• On the number of generators of ideals in local Cohen-Macaulay rings
• Lech's inequality, the Stückrad-Vogel conjecture, and uniform behavior of Koszul homology
• Note on multiplicities of ideals
• Multiplicities and Reduction Numbers
• Homological Conjectures and Lim Cohen-Macaulay Sequences
• BOUNDS ON MULTIPLICITIES OF LOCAL RINGS
• A generalization of an inequality of Lech relating multiplicity and colength*

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