On the asymptotic linearity of Castelnuovo-Mumford regularity.

DOI10.1016/j.jpaa.2004.12.043zbMath1100.13024arXivmath/0212161OpenAlexW2095208767MaRDI QIDQ2570662

Hsin-Ju Wang, Ngô Viêt Trung

Publication date: 28 October 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212161

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items (40)

Depth and regularity of powers of sums of ideals ⋮ A remark on regularity of powers and products of ideals ⋮ Minimal free resolutions and asymptotic behavior of multigraded regularity ⋮ Castelnuovo–Mumford Regularity and Powers ⋮ Morse resolutions of powers of square-free monomial ideals of projective dimension one ⋮ On the asymptotic linearity of reduction number ⋮ Castelnuovo-Mumford regularity and Ratliff-Rush closure ⋮ On the existence of 𝐹-thresholds and related limits ⋮ Regularity of powers of edge ideals of some graphs ⋮ On asymptotic vanishing behavior of local cohomology ⋮ Regularity of symbolic powers and arboricity of matroids ⋮ Regularity of powers of cover ideals of bipartite graphs ⋮ Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules ⋮ On reduction numbers of products of ideals ⋮ Frobenius methods in combinatorics ⋮ Regularity of powers of forests and cycles ⋮ Regularity of powers of edge ideals: from local properties to global bounds ⋮ Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs ⋮ Notes on regularity stabilization ⋮ Powers of sums and their homological invariants ⋮ Fiber invariants of projective morphisms and regularity of powers of ideals ⋮ Upper bounds for the regularity of powers of edge ideals of graphs ⋮ Partial Castelnuovo–Mumford regularities of sums and intersections of powers of monomial ideals ⋮ Non-linear behaviour of Castelnuovo-Mumford regularity ⋮ Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups ⋮ Regularity of powers of cover ideals of unimodular hypergraphs ⋮ Geometric regularity of powers of two-dimensional squarefree monomial ideals ⋮ Castelnuovo–Mumford Regularity of Sums of Powers of Polynomial Ideals ⋮ On asymptotic socle degrees of local cohomology modules ⋮ Regularity of bicyclic graphs and their powers ⋮ Regularity and Koszul property of symbolic powers of monomial ideals ⋮ Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forests ⋮ Rational normal scrolls and the defining equations of Rees algebras ⋮ Symbolic powers of certain cover ideals of graphs ⋮ Regularity index of Hilbert functions of powers of ideals ⋮ Regularity of powers of edge ideals of unicyclic graphs ⋮ On the computation of Castelnuovo-Mumford regularity of the Rees algebra and of the fiber ring ⋮ An asymptotic bound for Castelnuovo-Mumford regularity of certain Ext modules over graded complete intersection rings ⋮ Defining Equations of Blowup Algebras ⋮ The (ir)regularity of Tor and Ext

Cites Work

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• Linear free resolutions and minimal multiplicity
• Graded Betti numbers of some embedded rational \(n\)-folds
• Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
• Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
• Verallgemeinerte COHEN-MACAULAY-Moduln
• The Castelnuovo regularity of the Rees algebra and the associated graded ring
• Regularity of the powers of an ideal
• Irrational asymptotic behaviour of Castelnuovo-Mumford regularity
• Asymptotic behaviour of Castelnuovo-Mumford regularity
• What can be computed in algebraic geometry?
• Positivity and complexity of ideal sheaves

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