Results 21 to 30 of about 136,089 (106)
Joins, ears and Castelnuovo–Mumford regularity [PDF]
Journal of Algebra, 2020 We introduce a new class of polynomial ideals associated to a simple graph, $G$. Let $K[E_G]$ be the polynomial ring on the edges of $G$ and $K[V_G]$ the polynomial ring on the vertices of $G$. We associate to $G$ an ideal, $I(X_G)$, defined as the preimage of $(x_i^2-x_j^2 : i,j\in V_G)\subseteq K[V_G]$ by the map $K[E_G]\to K[V_G]$ which sends a ...
J. Neves, M. Vaz Pinto, R.H. Villarreal
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Castelnuovo-Mumford Regularity of Graphs [PDF]
Combinatorica, 2018 We present new combinatorial insights into the calculation of (Castelnuovo-Mumford) regularity of graphs.
BIYIKOGLU, Turker, CİVAN, Yusuf
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Multigraded Castelnuovo-Mumford regularity [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2004 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. As in the standard graded case, our definition of multigraded regularity involves the vanishing of graded components of local cohomology.
Maclagan, Diane, Smith, Gregory G.
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Sharp bounds on Castelnuovo-Mumford regularity [PDF]
, 2000 The Castelnuovo-Mumford regularity is one of the most important invariants in studying the minimal free resolution of the defining ideals of the projective varieties.
宮﨑, 誓 +2 more
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CASTELNUOVO-MUMFORD REGULARITY AND BRIDGELAND STABILITY OF POINTS IN THE PROJECTIVE PLANE [PDF]
, 2017 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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Castelnuovo-Mumford regularity and classical method of Castelnuovo [PDF]
, 2006 This paper investigates the Castelnuovo-Munford regularity of generic hyperplane section of projective curve. The classical method of Castelnuovo plays an important role in order to study the extremal examples for the bounds for the Castelnuovo-Mumford ...
宮﨑, 誓 +2 more
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Geometric collections and Castelnuovo–Mumford regularity [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2007 AbstractThe paper begins by overviewing the basic facts on geometric exceptional collections. Then we derive, for any coherent sheaf $\cF$ on a smooth projective variety with a geometric collection, two spectral sequences: the first one abuts to $\cF$ and the second one to its cohomology.
Costa, L., Miró-Roig, R. M.
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Castelnuovo–Mumford regularity in biprojective spaces [PDF]
advg, 2004 Abstract We define the concept of regularity for bigraded modules over a bigraded polynomial ring. In this setting we prove analogs of some of the classical results on m-regularity for graded modules over polynomial algebras.
Hoffman, J. William, Wang, Hao Hao
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Generalized Castelnuovo–Mumford regularity for affine Kac–Moody algebras [PDF]
, 2011 The graded modules over noncommutative algebras often have minimal free resolutions of infinite length, resulting in infinite Castelnuovo–Mumford regularity. In Kang et al.
Kang, Seok-Jin +7 more
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Bounds for the Castelnuovo–Mumford regularity of modules [PDF]
Mathematische Zeitschrift, 2007 We establish bounds for the Castelnuovo-Mumford regularity of a finitely generated graded module and its symmetric powers in terms of the degrees of the generators of the module and the degrees of their relations. We extend to modules (and improve) the known bounds for homogenous ideal in a polynomial ring established by Galligo, Guisti, Caviglia and ...
Chardin, Marc +2 more
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