On Fiber Cones of 𝑚-Primary Ideals

DOI10.4153/CJM-2007-005-8zbMath1124.13015arXivmath/0408346OpenAlexW2060554685MaRDI QIDQ3429629

A. V. Jayanthan, Jugal Kishore Verma, Tony Joseph Puthenpurakal

Publication date: 2 April 2007

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408346

zbMATH Keywords

mixed multiplicitiesjoint reductionCohen-Macaulay fiber conesGorenstein fiber cones

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) 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 (17)

On the depth of fiber cones of stretched \(\mathfrak m\)-primary ideals ⋮ Castelnuovo–Mumford Regularity and Gorensteinness of Fiber Cone ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ Homology, mixed multiplies and Hilbert coefficients of the fiber cone ⋮ On the Cohen-Macaulayness of fiber cones ⋮ On Fiber Coefficients of Fiber Cones^† ⋮ On the Vasconcelos inequality for the fiber multiplicity of modules ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ Depth of fiber cones of ideals with almost minimal mixed multiplicity ⋮ Artin-Nagata properties, minimal multiplicities, and depth of fiber cones ⋮ A Lower Bound on the Second Fiber Coefficient of the Fiber Cones ⋮ Apery and micro-invariants of a one-dimensional Cohen-Macaulay local ring and invariants of its tangent cone ⋮ On Special Fiber Rings of Modules ⋮ Primary Ideals with Good Fiber Cone ⋮ Fiber Coefficients and Depth of Fiber Cones ⋮ On the multiplicity and the Cohen-Macaulayness of fiber cones of graded algebras ⋮ The Joint Reduction Number and Upper Bounds of Hilbert Series of Fiber Cones

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