Results 71 to 80 of about 3,151 (106)
On the asymptotic linearity of Castelnuovo–Mumford regularity
Journal of Pure and Applied Algebra, 2005 Let R be a standard graded ring over a commutative Noetherian ring with unity and I a graded ideal of R. Let M be a finitely generated graded R-module. We prove that there exist integers e and _M(I) such that for all large n, reg(I^nM)= _M(I)n+e.
Trung, Ngô Viêt, Wang, Hsin-Ju
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Bigraded Castelnuovo-Mumford regularity and Gröbner bases
Journal of Symbolic ComputationRevised version: we restrict to the bigraded case.
Bender, Matías +3 more
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Regularity of Tor for weakly stable ideals
Le Matematiche, 2015 It is proved that if I and J are weakly stable ideals in a polynomial ring R = k[x_1, . . ., x_n], with k a field, then the regularity of Tor^R_i (R/I, R/J) has the expected upper bound. We also give a bound for the regularity of Ext^i_R (R/I, R) for I a
Katie Ansaldi +2 more
doaj
Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams
, 2018 We investigate the Castelnuovo--Mumford regularity and the multiplicity of the toric ring associated to a three-dimensional Ferrers diagram. In particular, in the rectangular case, we are able to provide direct formulas for these two important invariants.
Lin, Kuei-Nuan, Shen, Yi-Huang
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Irrational asymptotic behaviour of Castelnuovo-Mumford regularity
Journal für die reine und angewandte Mathematik (Crelles Journal), 2000 We give examples of nonsingular curves in projective 3 space such that the regularity of powers of their ideal sheaves are highly nonlinear. This is in constrast to the case of an ideal I in a polynomial ring, where the regularity of I^n is a linear polynomial in n for large n.
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A Castelnuovo-Mumford regularity bound for threefolds with rational singularities [PDF]
Advances in Mathematics, 2022 Wenbo Niu, Jinhyung Park
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Efficient computation of Castelnuovo-Mumford regularity [PDF]
Mathematics of Computation, 2011 It is well known that the Castelnuovo-Mumford regularity of a homogeneous ideal \(I\) is an upper bound for the degree of the elements in a reduced Gröbner basis of \(I\) with respect to the reverse lexicographic ordering, if the position of \(I\) in the coordinate system is sufficiently generic.
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Castelnuovo–Mumford regularity and splitting criteria for logarithmic bundles over rational normal scroll surfaces [PDF]
Indagationes mathematicae, 2023 R. D. Gennaro, F. Malaspina
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Projective schemes: What is Computable in low degree?
, 2001 This article first presents two examples of algorithms that extracts information on scheme out of its defining equations. We also give a review on the notion of Castelnuovo-Mumford regularity, its main properties (in particular its relation to ...
Chardin, Marc
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Castelnuovo–Mumford regularity of projected Roth varieties
Journal of Algebra, 2016 It is a classical question that of classifying smooth nondegenerate projective varieties \(X \subset \mathbb{P}^N\) of degree \(d\) and codimension \(e\) not cut out by hypersurfaces of degree smaller than or equal to \(d-e+1\) (on an algebraically closed field of characteristic zero).
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