Green's Hyperplane Restriction Theorem: an extension to modules
Commutative Algebra
2014-03-20 v1
Abstract
In this paper, we prove a generalization of Green's Hyperplane Restriction Theorem to the case of modules over the polynomial ring, providing in particular an upper bound for the Hilbert function of the general linear restriction of a module M in a degree d by the corresponding Hilbert function of a lexicographic module.
Cite
@article{arxiv.1403.4862,
title = {Green's Hyperplane Restriction Theorem: an extension to modules},
author = {Ornella Greco},
journal= {arXiv preprint arXiv:1403.4862},
year = {2014}
}
Comments
17 pages, 1 table