A lower bound on levels with applications to Koszul Complexes

Antonia Kekkou

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arXiv · 2505.14812

A lower bound on levels with applications to Koszul Complexes

Antonia Kekkou

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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.

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Antonia Kekkou. 2025-05-20. A lower bound on levels with applications to Koszul Complexes. https://arxiv.org/abs/2505.14812

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