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Castelnuovo–Mumford Regularity
2022For standard graded algebras over fields, Castelnuovo-Mumford regularity has become an indispensable invariant. Chapter 8 develops this notion from scratch, but in a more general version for standard graded algebras over Noetherian base rings. As in the classical case, regularity can be computed from local cohomology, minimal free resolutions and ...
Winfried Bruns +3 more
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Non-commutative Castelnuovo–Mumford regularity
Mathematical Proceedings of the Cambridge Philosophical Society, 1999The author generalizes the notion of Castelnuovo-Mumford regularity [\textit{D. Mumford}, ``Lectures on curves on an algebraic surface'' (1966; Zbl 0187.42701)] for graded modules over non-commutative graded algebras. More exactly, the category of graded modules over quantum polynomial algebras in the sense of \textit{M. Artin} and \textit{J.-J. Zhang}
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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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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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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
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Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
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