Results 31 to 40 of about 136,089 (106)
Castelnuovo–Mumford Regularity up to Symmetry [PDF]
International Mathematics Research Notices, 2020 AbstractWe study the asymptotic behavior of the Castelnuovo–Mumford regularity along chains of graded ideals in increasingly larger polynomial rings that are invariant under the action of symmetric groups. A linear upper bound for the regularity of such ideals is established. We conjecture that their regularity grows eventually precisely linearly.
Van Le, Dinh +3 more
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Non-commutative Castelnuovo-Mumford regularity
We define Castelnuovo–Mumford regularity for graded modules over non-commutative graded algebras. Two fundamental commutative results are generalized to the non-commmutative case: a vanishing-theorem by Mumford, and a theorem on linear resolutions and ...
Jørgensen P
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Asymptotic Behaviour of the Castelnuovo-Mumford Regularity [PDF]
Compositio Mathematica, 1999 In this paper the asymptotic behavior of the Castelnuovo$ndash;Mumford regularity of powers of a homogeneous ideal I is studied. It is shown that there is a linear bound for the regularity of the powers I whose slope is the maximum degree of a homogeneous generator of I, and that the regularity of I is a linear function for large n.
Trung, N., Cutkosky, Herzog, J.
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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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On the asymptotic linearity of Castelnuovo–Mumford regularity
Journal of Pure and Applied Algebra, 2005 7 ...
Trung, Ngô Viêt, Wang, Hsin-Ju
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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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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
doaj
Bounds on Cohomology and Castelnuovo–Mumford Regularity
Journal of Algebra, 1996 The Castelnuovo-Mumford regularity reg(X) of a projective scheme X was introduced by Mumford by generalizing ideas of Castelnuovo. The interest in this concept stems partly from the fact that X is m-regular if and only if for every p \geq 0 the minimal generators of the p-th syzygy module of the defining ideal I of X occur in degree \leq m + p.
Miyazaki, Chikashi, Vogel, Wolfgang
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Stable Sheaves on a Smooth Quadric Surface with Linear Hilbert Bipolynomials
The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014 We investigate the moduli spaces of stable sheaves on a smooth quadric surface with linear Hilbert bipolynomial in some special cases and describe their geometry in terms of the locally free resolution of the sheaves.
Edoardo Ballico +3 more
wiley +1 more source
Castelnuovo-Mumford regularity of products of ideals
Collectanea Mathematica, 2002 14 ...
CONCA, ALDO, HERZOG J.
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