Results 61 to 70 of about 136,089 (106)
Prime graphs, matchings and the Castelnuovo-Mumford regularity
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Biyikoglu, Turker, CİVAN, Yusuf
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Weighted Castelnuovo-Mumford Regularity and Weighted Global Generation [PDF]
We introduce and study a notion of Castelnuovo-Mumford regularity suitable for weighted projective ...
G. K. Sankaran +3 more
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Castelnuovo–Mumford Regularity of Finite Schemes
Abstract Let $\Gamma \subset \mathbb{P}^{n}$ be a nondegenerate finite subscheme of degree $d$. It is known that the Castelnuovo–Mumford regularity $\textrm{reg} ({\Gamma })$ of $\Gamma $ is at most $\left \lceil \frac{d-n-1}{t(\Gamma )} \right \rceil +2$ where $t(\Gamma )$ is the smallest integer $t$ such that $\Gamma $ admits a $(t+2)$-
Lee, Donghyeop, Park, Euisung
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Castelnuovo–Mumford regularity bounds for singular surfaces [PDF]
We prove the regularity conjecture, namely Eisenbud-Goto conjecture, for a normal surface with rational, Gorenstein elliptic and log canonical singularities. Along the way, we bound the regularity for a dimension zero scheme by its Loewy length and for a curve allowing embedded or isolated point components by its arithmetic degree.
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Sharp bounds on Castelnuovo-Mumford regularity [PDF]
application/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.
宮﨑, 誓 +4 more
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On the regularity conjecture for the cohomology of finite groups [PDF]
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Benson, David J., David J. Benson
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On the Castelnuovo-Mumford regularity of the cohomology ring of a group [PDF]
We prove Benson’s Regularity Conjecture that the regularity of the cohomology of a finite group is zero. We also prove some of his generalisations to other classes of groups.
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ON THE CASTELNUOVO–MUMFORD REGULARITY OF CURVE ARRANGEMENTS
The Castelnuovo–Mumford regularity of the Jacobian algebra and of the graded module of derivations associated to a general curve arrangement in the complex projective plane are studied. The key result is an addition-deletion type result, similar to results obtained by H. Schenck, H. Terao, S¸. O. Toh˘aneanu and M.
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Veronese transform, and Castelnuovo-Mumford regularity of modules
International audienceVeronese rings, Segre embeddings or more generally Segre-Veronese embeddings are very important rings in Algebraic Geometry. In this paper we present an original, elementary way to compute the Hilbert-Poincare series of these rings,
Morales, Marcel, Nguyen Thi, Dung
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Castelnuovo-Mumford regularity and classical method of Castelnuovo [PDF]
application/pdf論文(Article)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
宮﨑, 誓 +4 more
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