Log-concave Gorenstein sequences
Commutative Algebra
2023-05-09 v4
Abstract
We show here that codimension three Artinian Gorenstein sequences are log-concave, and that there are codimension four Artinian Gorenstein sequences that are not log-concave. We also show that all level sequences in codimension two, and every compressed level Hilbert function in any codimension is log-concave.
Cite
@article{arxiv.2207.10753,
title = {Log-concave Gorenstein sequences},
author = {Anthony Iarrobino},
journal= {arXiv preprint arXiv:2207.10753},
year = {2023}
}
Comments
17 p. revised after referee comments