Bounds for the Castelnuovo-Mumford regularity of modules
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
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 and the degrees of their relations. We extend to modules (and improve) the known bounds for homogenous ideal in a polynomial ring established by Galligo, Guisti, Caviglia and Sbarra.
Cite
@article{arxiv.math/0609018,
title = {Bounds for the Castelnuovo-Mumford regularity of modules},
author = {Marc Chardin and Amadou Lamine Fall and Uwe Nagel},
journal= {arXiv preprint arXiv:math/0609018},
year = {2007}
}