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On the Castelnuovo-Mumford regularity of symbolic powers of cover ideals
Journal of Algebra and its ApplicationsAssume that [Formula: see text] is a graph with cover ideal [Formula: see text]. For every integer [Formula: see text], we denote the [Formula: see text]-th symbolic power of [Formula: see text] by [Formula: see text].
S. A. Seyed Fakhari
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Castelnuovo–Mumford Regularity of Some Modules
Communications in Algebra, 2008We give bounds for the Castelnuovo–Mumford regularity of the so-called sequentially κ-Buchsbaum modules and of the canonical modules of certain rings.
Dao Thanh Ha, Lê Tuân Hoa
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On the Castelnuovo–Mumford regularity of squarefree powers of edge ideals
Journal of Pure and Applied Algebra, 2023S. A. Seyed Fakhari
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Castelnuovo-Mumford regularity for nonhyperelliptic curves
Archiv der Mathematik, 2004Let \(X\subset\mathbb P^r\) \((r>3)\) be an irreducible, reduced, nondegenerate, projective curve. One says that \(X\) is \(n\)-regular if \(H^i (\mathbb P^r,{\mathcal I}_X\otimes{\mathcal O}_{\mathbb{P}^r}(n-i))=0\) for all \(i>0\). Problems of bounding the regularity by degree and codimension and describing extremal cases have been studied by several
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MATCHINGS AND CASTELNUOVO–MUMFORD REGULARITY OF SQUAREFREE POWERS OF EDGE IDEALS
Journal of Commutative AlgebraS. A. Seyed Fakhari
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