Homology, mixed multiplies and Hilbert coefficients of the fiber cone

DOI10.1142/S0219498819500610zbMath1419.13022OpenAlexW2801972589MaRDI QIDQ5383835

Clare D'Cruz, Anna Guerrieri

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819500610

zbMATH Keywords

fiber coneBhattacharya coefficients

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

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• Hilbert functions of filtered modules
• Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity
• Ideals whose Hilbert function and Hilbert polynomial agree at \(n=1\)
• Hilbert coefficients and depth of fiber cones
• On Fiber Cones of 𝑚-Primary Ideals
• Generalizations of Reductions and Mixed Multiplicities
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Fiber Cones of Ideals with Almost Minimal Multiplicity
• On the depth of certain graded rings associated to an ideal
• A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients
• The Hilbert Coefficients of the Fiber Cone and the a-Invariant of the Associated Graded Ring

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