Primary Ideals with Good Fiber Cone

DOI10.1080/00927872.2010.482551zbMath1234.13022OpenAlexW2035229353MaRDI QIDQ3092947

Guangjun Zhu

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.482551

zbMATH Keywords

depthHilbert seriesjoint reductionfiber conejoint reduction numberRees-superficial sequence

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) 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)

Cites Work

• Depth of fiber cones of ideals with almost minimal mixed multiplicity
• On the depth of the associated graded ring of an \(m\)-primary ideal of a Cohen-Macaulay local ring
• On the depth of the fiber cone of filtrations
• Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity
• Primary ideals with good associated graded ring
• Hilbert coefficients and depth of fiber cones
• On Fiber Cones of 𝑚-Primary Ideals
• On Fiber Coefficients of Fiber Cones^†
• A Lower Bound on the Second Fiber Coefficient of the Fiber Cones
• Generalizations of Reductions and Mixed Multiplicities
• Form rings and regular sequences
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Hilbert coefficients and the associated graded rings
• The Hilbert Coefficients of the Fiber Cone and the a-Invariant of the Associated Graded Ring