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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.14812 |
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| _version_ | 1866908372807188480 |
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| author | Kekkou, Antonia |
| author_facet | Kekkou, Antonia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A lower bound on levels with applications to Koszul Complexes Kekkou, Antonia Commutative Algebra 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. |
| title | A lower bound on levels with applications to Koszul Complexes |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2505.14812 |