[PDF][PDF] Regularity of ideals and their powers
M Chardin - Prépublication, Institut de Mathématiques de …, 2004 - webusers.imj-prg.fr
If R is a polynomial ring over a field k, M is a finitely generated graded R-module (for the
standard grading of R) and m:= R> 0, the invariants ai (M):= inf {µ| Hi m (M)> µ= 0} and bi …
standard grading of R) and m:= R> 0, the invariants ai (M):= inf {µ| Hi m (M)> µ= 0} and bi …
Bounds for the Castelnuovo-Mumford regularity
M Brodmann, T Götsch - Journal of Commutative Algebra, 2009 - JSTOR
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 …
graded ideal in a polynomial ring 𝐾 [𝓍₁,..., 𝓍𝑟] over a field (established by Galligo and …
Regularity of the powers of an ideal
KA Chandler - Communications in Algebra, 1997 - Taylor & Francis
Regularity of the powers of an ideal Page 1 COMMUNICATIONS IN ALGEBRA, 25(12), 3773-3776
(1997) REGULARITY OF THE POWERS OF AN IDEAL KAREN A. CHANDLER DEPARTMENT …
(1997) REGULARITY OF THE POWERS OF AN IDEAL KAREN A. CHANDLER DEPARTMENT …
Bounds for the Castelnuovo–Mumford regularity of modules
M Chardin, AL Fall, U Nagel - Mathematische Zeitschrift, 2008 - Springer
We establish bounds for the Castelnuovo–Mumford regularity of a finitely generated graded
module and its symmetric powers in terms of the degrees of the generators of the module …
module and its symmetric powers in terms of the degrees of the generators of the module …
Asymptotic behaviour of Castelnuovo-Mumford regularity
V Kodiyalam - Proceedings of the American Mathematical Society, 2000 - ams.org
Let $ S $ be a polynomial ring over a field. For a graded $ S $-module generated in degree
at most $ P $, the Castelnuovo-Mumford regularity of each of (i) its $ n^{\operatorname {th}} …
at most $ P $, the Castelnuovo-Mumford regularity of each of (i) its $ n^{\operatorname {th}} …
Regularity jumps for powers of ideals
A Conca - Commutative algebra, 2005 - taylorfrancis.com
The Castelnuovo-Mumford regularity reg (I) is one of the most important invariants of a
homogeneous ideal I in a polynomial ring. A basic question is how the regularity behaves …
homogeneous ideal I in a polynomial ring. A basic question is how the regularity behaves …
Some results and questions on Castelnuovo-Mumford regularity
M Chardin - Lecture Notes in Pure and Applied Mathematics, 2007 - api.taylorfrancis.com
Regularity....................................................... 1 1.2 A Lemma from Homological Algebra and the
Equivalenceof the Definitions................................................ 3 1.3 Other Definitions and Further …
Equivalenceof the Definitions................................................ 3 1.3 Other Definitions and Further …
Castelnuovo-Mumford regularity and degrees of generators of graded submodules
M Brodmann - Illinois Journal of Mathematics, 2003 - projecteuclid.org
We extend the regularity criterion of Bayer-Stillman for a graded ideal $\mathfrak {a} $ of a
polynomial ring $ K [\underline {\bf x}]:= K [\underline {\bf x} _0,\dots,{\bf x} _r] $ over an …
polynomial ring $ K [\underline {\bf x}]:= K [\underline {\bf x} _0,\dots,{\bf x} _r] $ over an …
Castelnuovo–Mumford regularity and powers
This note has two goals. The first is to give a short and self contained introduction to the
Castelnuovo–Mumford regularity for standard graded rings R=⊕ i∈ ℕ R i over general base …
Castelnuovo–Mumford regularity for standard graded rings R=⊕ i∈ ℕ R i over general base …
[HTML][HTML] On the asymptotic linearity of Castelnuovo–Mumford regularity
NV Trung, HJ Wang - Journal of Pure and Applied Algebra, 2005 - Elsevier
Let R be a standard graded ring over a commutative Noetherian ring with unity. Let I be an
arbitrary graded ideal of R and M an arbitrary finitely generated graded R-module. We prove …
arbitrary graded ideal of R and M an arbitrary finitely generated graded R-module. We prove …