Results 11 to 20 of about 136,089 (106)
Castelnuovo–Mumford Regularity and Powers [PDF]
, 2021 The paper is dedicated to David Eisenbud on the occasion of his seventy-fifth ...
Bruns W., Conca A., Varbaro M.
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Castelnuovo–Mumford regularity by approximation [PDF]
Advances in Mathematics, 2004 The Castelnuovo-Mumford regularity of a module gives a rough measure of its complexity. We bound the regularity of a module given a system of approximating modules whose regularities are known. Such approximations can arise naturally for modules constructed by inductive combinatorial means.
Derksen, Harm, Sidman, Jessica
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Bounds for the Castelnuovo-Mumford Regularity [PDF]
Journal of Commutative Algebra, 2009 We extend the “linearly exponential” bound for the Castelnuovo-Mumford regularity of a graded ideal in a polynomial ring K[x1, . . . , xr] over a field (established by Galligo and Giusti in characteristic 0 and recently, by Caviglia-Sbarra for abitrary K) to graded submodules of a graded module over a homogeneous Cohen-Macaulay ring R = ⊕n≥0Rn with ...
Brodmann, M., Götsch, T.
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Castelnuovo–Mumford regularity and Ratliff–Rush closure [PDF]
Journal of Algebra, 2018 16 pages; to appear in Journal of ...
Rossi, ME, Trung, DT, Trung, NV
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Castelnuovo–Mumford Regularity
, 2022 For 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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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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A Castelnuovo–Mumford regularity bound for scrolls
Journal of Algebra, 2017 10 pages.
Wenbo Niu, Jinhyung Park
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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. The main new ingredient in our proofs is to show that generic residual intersections of complete intersection rational singularities again have rational singularities.
Chardin, Marc, Ulrich, Bernd
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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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Bigraded Castelnuovo-Mumford regularity and Gröbner bases
Journal of Symbolic ComputationRevised version: we restrict to the bigraded case.
Bender, Matías +3 more
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