FIBER CONES WITH ALMOST MAXIMAL DEPTH

DOI10.1081/AGB-200051168zbMath1087.13008OpenAlexW2061812286MaRDI QIDQ4682037

Teresa Cortadellas Benítez

Publication date: 9 June 2005

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

Full work available at URL: https://doi.org/10.1081/agb-200051168

zbMATH Keywords

Cohen-Macaulay moduledepthfiber cone

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (6)

Castelnuovo–Mumford Regularity and Gorensteinness of Fiber Cone ⋮ On Hilbert coefficients of filtrations ⋮ On Fiber Coefficients of Fiber Cones^† ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ On the degree of Hilbert polynomials of derived functors ⋮ On the relation type of fiber cone

Cites Work

• Birational extensions in dimension two and integrally closed ideals
• On the Cohen-Macaulayness of the fiber cone of an ideal
• 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 coefficients of integrally closed ideals
• Hilbert Coefficients and Depths of Form Rings
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Properties of the Fiber Cone of Ideals in Local Rings
• Cohen-Macaulayness of Special Fiber Rings
• Hilbert coefficients and the associated graded rings
• The Hilbert-Samuel Polynomial in a Filtered Module

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