Castelnuovo Regularity and Graded Rings Associated to an Ideal

DOI10.2307/2160792zbMath0826.13014OpenAlexW4255608481MaRDI QIDQ4327646

Daniel Katz, Bernhard Johnston

Publication date: 10 April 1995

Full work available at URL: https://doi.org/10.2307/2160792

zbMATH Keywords

Castelnuovo regularitygraded ringCohen- Macaulay local ringideals of positive height

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings (13A02) Ideals and multiplicative ideal theory in commutative rings (13A15) Local cohomology and commutative rings (13D45)

Related Items

Cohen-Macaulay Rees algebras and degrees of polynomial relations, Equations of blowups of ideals of codimension two and three, On Rees algebras with a Gorenstein Veronese subring, Generalized stretched ideals and Sally's conjecture, Indices of normalization of ideals, Bass numbers in the graded case, \(a\)-invariant formulas, and an analogue of Faltings' annihilator theorem, On a-invariant formulas, Residual intersections and modules with Cohen-Macaulay Rees algebra, On the homology of two-dimensional elimination, Rees algebras of ideals with low codimension, Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups, Finitely Graded Local Cohomology and the Depths of Graded Algebras, Normalization of modules, Unnamed Item, Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules, The Castelnuovo regularity of the Rees algebra and the associated graded ring, The largest non-vanishing degree of graded local cohomology modules, On Burch’s inequality and a reduction system of a filtration, Unnamed Item, On the depth of the associated graded ring of an ideal.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic prime divisors
• Graded Cohen-Macaulay rings associated to equimultiple ideals
• On the associated graded ring of an ideal
• Cohen-Macaulay Rees algebras and degrees of polynomial relations
• Rees Algebras of Ideals Having Small Analytic Deviation
• When is the rees algebra cohen—macaulay?
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• Powers of Ideals Having Small Analytic Deviation
• On Graded Rings Associated to Analytic Deviation One Ideals