Graded filtrations and ideals of reduction number 2

DOI10.1002/mana.202100329arXiv2105.07185OpenAlexW4320922577MaRDI QIDQ6093668

Shinya Kumashiro

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.07185

zbMATH Keywords

Hilbert functionreduction numberSally modulegraded filtration

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• Hilbert Coefficients and the Depths of Associated Graded Rings
• The reduction number of canonical ideals
• A Note on the Coefficients of the Abstract Hilbert Function

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