Fiber Coefficients and Depth of Fiber Cones

DOI10.1080/00927870902747878zbMath1181.13011OpenAlexW1971519614MaRDI QIDQ3646345

Guangjun Zhu

Publication date: 20 November 2009

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

Full work available at URL: https://doi.org/10.1080/00927870902747878

zbMATH Keywords

depthjoint reductionfiber conefiber coefficientRees-superficial sequence

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Graded rings (13A02) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (1)

A Lower Bound on the Second Fiber Coefficient of the Fiber Cones

Cites Work

• Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity
• Hilbert coefficients and depth of fiber cones
• Hilbert Coefficients and Depths of Form Rings
• On Fiber Cones of 𝑚-Primary Ideals
• On Fiber Coefficients of Fiber Cones^†
• Generalizations of Reductions and Mixed Multiplicities
• Hilbert Coefficients and the Depths of Associated Graded Rings
• A filtration of the sally module and the associated graded ring of an ideal
• The Hilbert Coefficients of the Fiber Cone and the a-Invariant of the Associated Graded Ring
• Bigraded structures and the depth of blow-up algebras

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