Results 11 to 20 of about 3,151 (106)
Multigraded Castelnuovo-Mumford Regularity [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2003 We develop a multigraded variant of Castelnuovo-Mumford regularity. Motivated by toric geometry, we work with modules over a polynomial ring graded by a finitely generated abelian group.
D. Maclagan, Gregory G. Smith
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Liaison and Castelnuovo-Mumford regularity [PDF]
American Journal of Mathematics, 2002 In this article we establish bounds for the Castelnuovo-Mumford regularity of projective schemes in terms of the degrees of their defining equations.
Marc Chardin, B. Ulrich
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Matchings, coverings, and Castelnuovo-Mumford regularity [PDF]
Journal of Commutative Algebra, 2010 We show that the co-chordal cover number of a graph G gives an upper bound for the Castelnuovo-Mumford regularity of the associated edge ideal. Several known combinatorial upper bounds of regularity for edge ideals are then easy consequences of covering ...
Russ Woodroofe
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Geometric collections and Castelnuovo–Mumford regularity [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2007 AbstractThe paper begins by overviewing the basic facts on geometric exceptional collections. Then we derive, for any coherent sheaf $\cF$ on a smooth projective variety with a geometric collection, two spectral sequences: the first one abuts to $\cF$ and the second one to its cohomology.
Costa, L., Miró-Roig, R. M.
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Castelnuovo–Mumford regularity and Segre–Veronese transform [PDF]
Journal of Algebra and Its Applications, 2016 In this paper we give a nice formula for the Castelnuovo–Mumford regularity of the Segre product of modules, under some suitable hypotheses. This extends recent results of David A. Cox, and Evgeny Materov (2009).
Morales, Marcel, Nguyen Thi, Dung
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Castelnuovo–Mumford Regularity up to Symmetry [PDF]
International Mathematics Research Notices, 2018 We study the asymptotic behavior of the Castelnuovo-Mumford regularity along chains of graded ideals in increasingly larger polynomial rings that are invariant under the action of symmetric groups.
D. Le +3 more
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A Castelnuovo–Mumford regularity bound for scrolls
Journal of Algebra, 2017 10 pages.
Wenbo Niu, Jinhyung Park
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Castelnuovo-Mumford regularity and extended degree [PDF]
Transactions of the American Mathematical Society, 2003 Our main result shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring A A is effectively bounded by the dimension and any extended degree of A A . From this it follows that there are only a finite number of Hilbert-Samuel functions of local rings with given dimension and extended degree.
ROSSI, MARIA EVELINA +2 more
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Castelnuovo-Mumford regularity of products of ideals
Collectanea Mathematica, 2002 14 ...
CONCA, ALDO, HERZOG J.
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Castelnuovo–Mumford regularity: examples of curves and surfaces
Journal of Algebra, 2003 The behaviour of Castelnuovo-Mumford regularity under ``geometric'' transformations is not well understood. In this paper we are concerned with examples which will shed some light on certain questions concerning this behaviour.
Chardin, Marc, d'Cruz, Clare
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