On the depth of the fiber cone of filtrations

DOI10.1006/jabr.1997.7147zbMath0898.13002OpenAlexW1970768608MaRDI QIDQ1375957

Teresa Cortadellas Benítez, Santiago Zarzuela Armengou

Publication date: 1 November 1998

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

Full work available at URL: http://hdl.handle.net/2445/152100

zbMATH Keywords

Cohen-Macaulay ringassociated graded ringRees algebrablowing-upsystem of parametersfiber cone

Mathematics Subject Classification ID

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 (21)

Normal cones of monomial primes ⋮ Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity ⋮ Castelnuovo–Mumford Regularity and Gorensteinness of Fiber Cone ⋮ On the Cohen-Macaulayness of fiber cones ⋮ Integral degree of a ring, reduction numbers and uniform Artin-Rees numbers ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ The equations of Rees algebras of equimultiple ideals of deviation one ⋮ Artin-Nagata properties, minimal multiplicities, and depth of fiber cones ⋮ A Lower Bound on the Second Fiber Coefficient of the Fiber Cones ⋮ Properties of the Fiber Cone of Ideals in Local Rings ⋮ FIBER CONES WITH ALMOST MAXIMAL DEPTH ⋮ Cohen-Macaulayness of Special Fiber Rings ⋮ The second Hilbert coefficient of modules with almost maximal depth ⋮ Fiber Cone of Codimension 2 Lattice Ideals ⋮ On the degree of Hilbert polynomials of derived functors ⋮ On the relation type of fiber cone ⋮ On certain algebras of reduction number one ⋮ Primary Ideals with Good Fiber Cone ⋮ On the multiplicity and the Cohen-Macaulayness of fiber cones of graded algebras ⋮ Eakin-Sathaye-type theorems for joint reductions and good filtrations of ideals ⋮ Hilbert coefficients and depth of fiber cones

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