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The research demonstrates a lower bound on perfect complexes and applies it to koszul complexes, suggesting improvements on existing limits.
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) studied this question.
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