An upper bound for the multiplicity and Wilf's conjecture for one-dimensional Cohen-Macaulay rings
Commutative Algebra
2025-05-15 v3
Abstract
In this work we provide an upper bound for the multiplicity of a one-dimensional Cohen-Macaulay ring (under certain conditions), describe the rings attaining the equality for this bound, and outline a connection with Wilf's conjecture for numerical semigroup rings. Then we prove the analogue of Wilf's conjecture for almost Gorenstein rings.
Keywords
Cite
@article{arxiv.2502.17989,
title = {An upper bound for the multiplicity and Wilf's conjecture for one-dimensional Cohen-Macaulay rings},
author = {Marco D'Anna and Alessio Moscariello},
journal= {arXiv preprint arXiv:2502.17989},
year = {2025}
}
Comments
13 pages