Small perturbations in generalized Cohen-Macaulay local rings

DOI10.1016/j.jalgebra.2021.08.007zbMath1480.13019arXiv2004.08873OpenAlexW3194033792MaRDI QIDQ1984365

Van Duc Trung, Pham Hung Quy

Publication date: 16 September 2021

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

Full work available at URL: https://arxiv.org/abs/2004.08873

zbMATH Keywords

Hilbert functionlocal cohomologysmall perturbationgeneralized Cohen-Macaulay ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Local cohomology and commutative rings (13D45)

Related Items (1)

When does a perturbation of the equations preserve the normal cone?

Cites Work

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• The invariance of Hilbert functions of quotients under small perturbations
• A finiteness theorem for the Hilbert functions of complete intersection local rings
• The height of ideals and regular sequences
• The theory of d-sequences and powers of ideals
• Filter regular sequence under small perturbations
• Adic approximation of complexes, and multiplicities
• The homological degree of a module
• Toward a theory of generalized Cohen-Macaulay modules

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