Upper bounds on two Hilbert coefficients
Commutative Algebra
2022-06-09 v1
Abstract
New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be attained. The characterizations are given in terms of Hilbert series as well as in terms of the Castelnuovo-Mumford regularity of the associated graded module.
Cite
@article{arxiv.2206.03974,
title = {Upper bounds on two Hilbert coefficients},
author = {Le Xuan Dung and Juan Elias and Le Tuan Hoa},
journal= {arXiv preprint arXiv:2206.03974},
year = {2022}
}
Comments
22 pages