Results 71 to 80 of about 136,089 (106)
CASTELNUOVO-MUMFORD REGULARITY AND BRIDGELAND STABILITY OF POINTS IN THE PROJECTIVE PLANE
, 2018 In this paper, we study the relation between Castelnuovo-Mumford regularity and Bridgeland stability for the Hilbert scheme of n points on P-2. For the largest [n/2] Bridgeland walls, we show that the general ideal sheaf destabilized along a smaller ...
J Park (45161) +2 more
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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.
openaire +3 more sources
Veronese transform, and Castelnuovo-Mumford regularity of modules
, 2014 Veronese rings, Segre embeddings or more generally Segre-Veronese embeddings are very important rings in Algebraic Geometry. In this paper we present an original, elementary way to compute the Hilbert-Poincare series of these rings, as a consequence we ...
Marcel Morales, Nguyen Thi Dung
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Hilbert series of Segre transform, and Castelnuovo-Mumford regularity
, 2013 In a recent preprint, Ilse Fischer and Martina Kubitzke, proved the bilinearity of the Segre transform under some restricted hypothesis, motivated by their results we show in this paper the bilinearity of the Segre transform in general.
Morales, Marcel, Nguyen Thi, Dung
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Multigraded Castelnuovo-Mumford Regularity
, 2003 We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we work with modules over a polynomial ring graded by a finitely generated abelian group.
Diane Maclagan +3 more
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Higher resonance schemes and Koszul modules of simplicial complexes. [PDF]
J Algebr Comb (Dordr)Aprodu M +4 more
europepmc +1 more source
Castelnuovo-Mumford regularity of unprojections and the Eisenbud-Goto regularity conjecture [PDF]
McCullough and Peeva found sequences of counterexamples to the Eisenbud--Goto conjecture on the Castelnuovo--Mumford regularity by using Rees-like algebras, where entries of each sequence have increasing dimensions and codimensions.
Choe, Junho
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Castelnuovo-Mumford regularity of products of ideals.
, 2003 The Castelnuovo-Mumford regularity reg(M) is one of the most important invariants of a finitely generated graded module M over a polynomial ring R. For instance, it measures the amount of computational resources that working with M requires.
CONCA, ALDO, HERZOG J.
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Castelnuovo-Mumford Regularity over Scrolls and Splitting Criteria
We introduce and study a notion of Castelnuovo-Mumford regularity suitable for scrolls obtained as projectivisations of sums of line bundles on $\mathbb P^m$.
Malaspina, F., Sankaran, G.
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