Upper Bound for the Castelnuovo-Mumford Regularity of Associated Graded Modules

DOI10.1081/AGB-200063340zbMath1099.13006MaRDI QIDQ5466659

Cao Huy Linh

Publication date: 25 August 2005

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

zbMATH Keywords

regularityCohen-Macaulayassociated graded modulerelative extended degree

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (16)

Castelnuovo–Mumford Regularity of Associated Graded Modules and Fiber Cones of Filtered Modules ⋮ The Chern coefficients of local rings ⋮ Dependence of Hilbert coefficients ⋮ Castelnuovo-Mumford regularity and Ratliff-Rush closure ⋮ Uniform bounds in generalized Cohen-Macaulay rings ⋮ Regularity comparison of fiber cone and associated graded ring ⋮ Castelnuovo-Mumford regularity, postulation numbers and relation types ⋮ When does a perturbation of the equations preserve the normal cone? ⋮ Castelnuovo-Mumford regularity of associated graded modules in dimension one ⋮ Boundedness of cohomology ⋮ Sequences that Preserve the Homological Degree ⋮ On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring ⋮ Castelnuovo–Mumford regularity of associated graded modules of k-Buchsbaum modules ⋮ Castelnuovo-Mumford regularity of deficiency modules ⋮ Castelnuovo-Mumford regularity and Hilbert coefficients of parameter ideals ⋮ The Chern numbers and Euler characteristics of modules

Cites Work

• A finiteness theorem for the Hilbert functions of complete intersection local rings
• Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings
• FINITENESS OF HILBERT FUNCTIONS FOR GENERALIZED COHEN–MACAULAY MODULES
• The Castelnuovo regularity of the Rees algebra and the associated graded ring
• The homological degree of a module
• Cohomological degrees and Hilbert functions of graded modules
• Absolutely superficial sequences
• Castelnuovo-Mumford regularity and extended degree

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