Castelnuovo-Mumford regularity, postulation numbers, and reduction numbers

DOI10.1016/j.jalgebra.2007.01.015zbMath1123.13015OpenAlexW2087207549MaRDI QIDQ2370136

Brent Strunk

Publication date: 22 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.01.015

zbMATH Keywords

Hilbert functionCastelnuovo-Mumford regularityreduction numberpostulation number

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items (4)

Castelnuovo-Mumford regularity and Ratliff-Rush closure ⋮ Castelnuovo-Mumford regularity, postulation numbers and relation types ⋮ On the Hilbert coefficients, depth of associated graded rings and reduction numbers ⋮ Results on the Hilbert coefficients and reduction numbers

Uses Software

• Macaulay2

Cites Work

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• A criterion for detecting m-regularity
• Castelnuovo's regularity of graded rings and modules
• Hilbert functions and symbolic powers
• Ideals whose Hilbert function and Hilbert polynomial agree at \(n=1\)
• Reduction numbers for ideals of higher analytic spread
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• Reduction numbers and Hilbert polynomials of ideals in higher dimensional CohenMacaulay local rings
• The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring
• The Castelnuovo regularity of the Rees algebra and the associated graded ring
• Local Cohomology of Rees Algebras and Hilbert Functions
• Regularity of lex-segment ideals: Some closed formulas and applications
• Reduction numbers of equimultiple ideals

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