On lower bounds for \(s\)-multiplicities

DOI10.1016/j.jalgebra.2019.03.034zbMath1448.13031arXiv1708.06273OpenAlexW2962770590WikidataQ127892465 ScholiaQ127892465MaRDI QIDQ2419478

Lance Edward Miller, William D. Taylor

Publication date: 13 June 2019

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

Full work available at URL: https://arxiv.org/abs/1708.06273

zbMATH Keywords

lower bounds\(s\)-multiplicityWatanabe-Yoshida conjecture

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Cites Work

• Unnamed Item
• Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension
• Hilbert-Kunz multiplicity and an inequality between multiplicity and colength
• Interpolating between Hilbert-Samuel and Hilbert-Kunz multiplicity
• On the upper semi-continuity of the Hilbert-Kunz multiplicity
• Hilbert-Kunz Multiplicity of Two-Dimensional Local Rings
• Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular
• New estimates of Hilbert–Kunz multiplicities for local rings of fixed dimension
• Hilbert-Kunz Multiplicity of Three-Dimensional Local Rings
• On rings with small Hilbert-Kunz multiplicity
• Multiplicity and tight closures of parameters

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