Hilbert Coefficients and Depths of Form Rings

DOI10.1081/AGB-120028790zbMath1098.13018arXivmath/0206221MaRDI QIDQ3154521

A. V. Jayanthan, Balwant Singh, Jugal Kishore Verma

Publication date: 14 January 2005

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

Full work available at URL: https://arxiv.org/abs/math/0206221

zbMATH Keywords

Cohen-Macaulay moduleassociated graded ringHilbert coefficients

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (8)

On Hilbert coefficients of filtrations ⋮ On the Cohen-Macaulayness of fiber cones ⋮ On Fiber Coefficients of Fiber Cones^† ⋮ Depth of fiber cones of ideals with almost minimal mixed multiplicity ⋮ A Lower Bound on the Second Fiber Coefficient of the Fiber Cones ⋮ FIBER CONES WITH ALMOST MAXIMAL DEPTH ⋮ Fiber Coefficients and Depth of Fiber Cones ⋮ On the multiplicity and the Cohen-Macaulayness of fiber cones of graded algebras

Cites Work

• Stable rings
• The Reduction Number of a One-Dimensional Local Ring
• Hilbert Coefficients and the Depths of Associated Graded Rings
• A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients

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