Results 61 to 70 of about 96 (95)
Matchings, coverings, and Castelnuovo-Mumford regularity [PDF]
Journal of Commutative Algebra, 2014 12 pages; v4 has minor changes for ...
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Castelnuovo–Mumford regularity of projected Roth varieties
Journal of Algebra, 2016 It is a classical question that of classifying smooth nondegenerate projective varieties \(X \subset \mathbb{P}^N\) of degree \(d\) and codimension \(e\) not cut out by hypersurfaces of degree smaller than or equal to \(d-e+1\) (on an algebraically closed field of characteristic zero).
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Sharp bounds on Castelnuovo-Mumford regularity [PDF]
Transactions of the American Mathematical Society, 1999 The Castelnuovo-Mumford regularity of a subscheme \(X \subseteq \mathbb{P}^n_K\) is an important invariant of this embedding. If \(K\) is algebraically closed of characteristic zero, and \(X\) is nondegenerate, irreducible and \(k\)-Buchsbaum, it was shown by \textit{U. Nagel} and \textit{P. Schenzel} [Nagoya Math. J. 152, 153-174 (1998; Zbl 0945.13008)
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Castelnuovo–Mumford regularity of canonical and deficiency modules
Journal of Algebra, 2006 We give two kinds of bounds for the Castelnuovo-Mumford regularity of the canonical module and the deficiency modules of a ring, respectively in terms of the homological degree and the Castelnuovo-Mumford regularity of the original ring.
Hoa, Lê Tuân, Hyry, Eero
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Castelnuovo-Mumford Regularity and Edge Ideals [PDF]
, 2017 In this dissertation we study the homological algebra of the monomial ideals with a special emphasis on the topics of the Castenuovo-Mumford regularity and the powers of edge ideals of finite simple graphs. The main problem of this dissertation is to find optimal bounds for the regularity of powers of edge ideals.
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Castelnuovo-Mumford regularity and cohomological dimension
, 2013 Let $R=\oplus_{i\in \N_0}R_n$ be a standard graded ring, $R_+ :=\oplus_{i\in \N}R_n$ be the irrelevant ideal of $R$ and $\fa_0$ be an ideal of $R_0$. In this paper, as a generalization of the concept of Castelnouvo-Mumford regularity $\reg(M)$ of a finitely generated graded $R$-module $M$, we define the regularity of $M$ with respect to $\fa_0+ R_ ...
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Higher resonance schemes and Koszul modules of simplicial complexes. [PDF]
J Algebr Comb (Dordr)Aprodu M +4 more
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Bounds for the Castelnuovo-Mumford regularity
, 2008 Bayer et Stillman ont montré que si R est un anneau de polynômes sur un corps k et I un idéal homogène de R, alors la régularité de I est égal au maximum des degrés des générateurs de son idéal initial générique pour l'ordre lexicographique inverse.
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Sharp bounds on Castelnuovo-Mumford regularity
Sharp bounds on Castelnuovo-Mumford regularityapplication/pdf 論文(Article) 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. There are some bounds on the Castelnuovo-Mumford regularity of the projective variety in terms of the other basic measures such as dimension, codimension and ...
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