Depth Sensitivity of Hilbert Coefficients
Commutative Algebra
2025-05-30 v1 Algebraic Geometry
Abstract
The purpose of this paper is to explain about the depth sensitivity of the Hilbert coefficients defined for finitely generated graded modules over graded rings. The main result generalize the well known fact that the Cohen-Macaulayness of graded modules can be characterized using their multiplicities.
Cite
@article{arxiv.2504.19597,
title = {Depth Sensitivity of Hilbert Coefficients},
author = {Koji Nishida},
journal= {arXiv preprint arXiv:2504.19597},
year = {2025}
}
Comments
17 pages