A lower bound on levels with applications to Koszul Complexes
Commutative Algebra
2025-05-22 v1
Abstract
In this paper, we establish a lower bound on the level of a perfect complex with power torsion homology on positive degrees and a power torsion minimal generator for zero homology. Examples are provided to demonstrate that the bound is optimal. This result is applied to improve existing lower bounds on the level of a Koszul complex on various classes of sequences.
Cite
@article{arxiv.2505.14812,
title = {A lower bound on levels with applications to Koszul Complexes},
author = {Antonia Kekkou},
journal= {arXiv preprint arXiv:2505.14812},
year = {2025}
}
Comments
11 pages