Results 21 to 30 of about 96 (95)
Castelnuovo–Mumford regularity by approximation
Advances in Mathematics, 2004 The Castelnuovo-Mumford regularity of a module gives a rough measure of its complexity. We bound the regularity of a module given a system of approximating modules whose regularities are known. Such approximations can arise naturally for modules constructed by inductive combinatorial means.
Derksen, Harm, Sidman, Jessica
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Matchings in hypergraphs and Castelnuovo--Mumford regularity [PDF]
Publicationes Mathematicae Debrecen, 2017 In this paper, we introduce and generalize some combinatorial invariants of graphs such as matching number and induced matching number to hypergraphs. Then we compare them together and present some upper bounds for the regularity of Stanley-Reisner ring of $Δ_{\mathcal{H}}$ for certain hypergraphs $\mathcal{H}$ in terms of the introduced matching ...
Khosh-Ahang, Fahimeh, Moradi, Somayeh
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Regularity of second power of edge ideals
پژوهشهای ریاضی, 2022 Introduction The study of the minimal free resolution of homogenous ideals and their powers is an interesting and active area of research in commutative algebra.
Seyed Amin Seyed Fakhari
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Liaison and Castelnuovo-Mumford regularity [PDF]
American Journal of Mathematics, 2002 In this article we establish bounds for the Castelnuovo-Mumford regularity of projective schemes in terms of the degrees of their defining equations. The main new ingredient in our proofs is to show that generic residual intersections of complete intersection rational singularities again have rational singularities.
Chardin, Marc, Ulrich, Bernd
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Syzygies, Betti Numbers, and Regularity of Cover Ideals of Certain Multipartite Graphs
Mathematics, 2019 Let G be a finite simple graph on n vertices. Let J G ⊂ K [ x 1 , … , x n ] be the cover ideal of G. In this article, we obtain syzygies, Betti numbers, and Castelnuovo−Mumford regularity of J G s for all s ...
A. V. Jayanthan, Neeraj Kumar
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Bounds for the Castelnuovo-Mumford Regularity
Journal of Commutative Algebra, 2009 Let \(r \geq 2\) denote an integer. Let \(K[x_1,\dots,x_r]\) be the polynomial ring over a field \(K\) and \(\mathfrak{a}\) a homogeneous ideal. Let \(\text{reg}(\mathfrak{a})\) denote the Castelnuovo-Mumford regularity and let \(d(\mathfrak{a})\) be the generating degree of \(\mathfrak{a}.\) By \textit{A. Galligo} [Ann. Inst. Fourier 29, No.
Brodmann, M., Götsch, T.
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 We study the property of continuous Castelnuovo-Mumford regularity, for semihomogeneous vector bundles over a given Abelian variety, which was formulated in A. Küronya and Y. Mustopa [Adv. Geom. 20 (2020), no. 3, 401-412].
Nathan Grieve
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Castelnuovo–Mumford regularity of initial ideals
Journal of Symbolic Computation, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hoa, Lê Tuân, Hyry, Eero
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Castelnuovo-Mumford Regularity and Hyperplane Sections
Journal of Algebra, 1994 Let \(X \subset \mathbb{P}^ n\) be a projective variety and \({\mathcal I}_ X\) the ideal sheaf of \(X\) in \(\mathbb{P}^ n\). One says that \(X\) is \(k\)-regular if \(H^ i (\mathbb{P}^ n, {\mathcal I}_ X (k-i)) = 0\) for all \(i \geq 1\). The Castelnuovo-Mumford regularity \(\text{reg} (X)\) of \(X \subset \mathbb{P}^ n\) is the last such \(k ...
Hoa, L.T., Vogel, W.
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Castelnuovo–Mumford regularity of deficiency modules
Journal of Algebra, 2009 25 pages, the previous version divided in two ...
Brodmann, M, Jahangiri, M, Linh, C H
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