Results 41 to 50 of about 3,151 (106)
Bounds for the Castelnuovo-Mumford Regularity
Journal of Commutative Algebra, 2009 Let \(r \geq 2\) denote an integer. Let \(K[x_1,\dots,x_r]\) be the polynomial ring over a field \(K\) and \(\mathfrak{a}\) a homogeneous ideal. Let \(\text{reg}(\mathfrak{a})\) denote the Castelnuovo-Mumford regularity and let \(d(\mathfrak{a})\) be the generating degree of \(\mathfrak{a}.\) By \textit{A. Galligo} [Ann. Inst. Fourier 29, No.
Brodmann, M., Götsch, T.
openaire +3 more sources
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
doaj +1 more source
Castelnuovo–Mumford regularity of initial ideals
Journal of Symbolic Computation, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hoa, Lê Tuân, Hyry, Eero
openaire +1 more source
Castelnuovo-Mumford Regularity and Hyperplane Sections
Journal of Algebra, 1994 Let \(X \subset \mathbb{P}^ n\) be a projective variety and \({\mathcal I}_ X\) the ideal sheaf of \(X\) in \(\mathbb{P}^ n\). One says that \(X\) is \(k\)-regular if \(H^ i (\mathbb{P}^ n, {\mathcal I}_ X (k-i)) = 0\) for all \(i \geq 1\). The Castelnuovo-Mumford regularity \(\text{reg} (X)\) of \(X \subset \mathbb{P}^ n\) is the last such \(k ...
Hoa, L.T., Vogel, W.
openaire +1 more source
Characteristic-free bounds for the Castelnuovo–Mumford regularity [PDF]
Compositio Mathematica, 2003 We study bounds for the Castelnuovo–Mumford regularity of homogeneous ideals in a polynomial ring in terms of the number of variables and the degree of the generators.
G. Caviglia, E. Sbarra
semanticscholar +1 more source
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 deficiency modules
Journal of Algebra, 2009 25 pages, the previous version divided in two ...
Brodmann, M, Jahangiri, M, Linh, C H
openaire +4 more sources
Designer ideals with high Castelnuovo-Mumford regularity
, 2014 The purpose of this paper is to give a simple geometric construction of ideals whose Castelnuovo-Mumford regularity is large compared to the generating degree.
Ullery, Brooke
core +1 more source
Castelnuovo-Mumford regularity and arithmetic Cohen-Macaulayness of complete bipartite subspace arrangements [PDF]
, 2014 We give the Castelnuovo-Mumford regularity of arrangements of (n-2)-planes in P^n whose incidence graph is a sufficiently large complete bipartite graph, and determine when such arrangements are arithmetically Cohen-Macaulay.Comment: v3: Minor changes ...
A. Torrance +4 more
core +4 more sources
Solving Degree Bounds for Iterated Polynomial Systems
IACR Transactions on Symmetric CryptologyFor Arithmetization-Oriented ciphers and hash functions Gröbner basis attacks are generally considered as the most competitive attack vector. Unfortunately, the complexity of Gröbner basis algorithms is only understood for special cases, and it is ...
Matthias Johann Steiner
doaj +1 more source