Borel-fixed ideals and reduction number.

DOI10.1016/S0021-8693(03)00367-3zbMath1066.13002arXivmath/0311300OpenAlexW2022398993MaRDI QIDQ1419016

Lê Tuân Hoa, Ngô Viêt Trung

Publication date: 14 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0311300

zbMATH Keywords

Hilbert functionreduction numberstandard graded algebraBorel-fixed ideal

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (12)

Some geometric results arising from the Borel fixed property ⋮ A hyperplane restriction theorem and applications to reductions of ideals ⋮ Generic initial ideals and graded Artinian-level algebras not having the weak-Lefschetz property ⋮ On almost revlex ideals with Hilbert function of complete intersections ⋮ Gorenstein algebras presented by quadrics ⋮ Artinian level algebras of codimension 3 ⋮ Reduction in Rees algebra of modules ⋮ Generic initial ideals of Artinian ideals having Lefschetz properties or the strong Stanley property ⋮ Castelnuovo–Mumford Regularity of Sums of Powers of Polynomial Ideals ⋮ Around the Eakin-Sathaye theorem ⋮ An Artinian Quotient of the Coordinate Ring of a Complete Intersection in ℙⁿHaving the Weak Lefschetz Property ⋮ Axial constants and sectional regularity of homogeneous ideals

Cites Work

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• Gröbner bases, local cohomology and reduction number
• Reduction numbers and initial ideals
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function
• Maximal Hilbert functions

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