Results 51 to 60 of about 96 (95)

Non-linear behaviour of Castelnuovo–Mumford regularity

Journal of Algebra, 2012
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Hoa, Lê Tuân, Morales, Marcel
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Castelnuovo-Mumford regularity and finiteness of Hilbert functions [PDF]

, 2005
The notion of regularity has been used by S. Kleiman in the construction of bounded families of ideals or sheaves with given Hilbert polynomial, a crucial point in the construction of Hilbert or Picard scheme. In a related direction, Kleiman proved that if I is an equidimensional reduced ideal in a polynomial ring S over an algebraically closed field ...
ROSSI, MARIA EVELINA, TRUNG N. V, VALLA, GIUSEPPE   +2 more
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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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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, Nicholas Clarke, Luigi Ferraro   +2 more
doaj  

Bigraded Castelnuovo-Mumford regularity and Gröbner bases

Journal of Symbolic Computation
Revised version: we restrict to the bigraded case.
Bender, Matías, Busé, Laurent, Checa, Carles, Tsigaridas, Elias   +3 more
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Castelnuovo–Mumford regularity: examples of curves and surfaces

Journal of Algebra, 2003
The behaviour of Castelnuovo-Mumford regularity under ``geometric'' transformations is not well understood. In this paper we are concerned with examples which will shed some light on certain questions concerning this behaviour.
Chardin, Marc, d'Cruz, Clare
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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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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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Asymptotic behaviour of Castelnuovo-Mumford regularity [PDF]

Proceedings of the American Mathematical Society, 1999
Summary: Let \(S\) be a polynomial ring over a field. For a graded \(S\)-module generated in degree at most \(P\), the Castelnuovo-Mumford regularity of each of (i) its \(n\)-th symmetric power, (ii) its \(n\)-th torsion-free symmetric power, and (iii) the integral closure of its \(n\)-th torsion-free symmetric power is bounded above by a linear ...
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Castelnuovo–Mumford regularity of matrix Schubert varieties

Selecta Mathematica
36 ...
Pechenik, Oliver, Speyer, David E., Weigandt, Anna   +2 more
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