Stability conditions for coherent systems on Integral Curves
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917084344090624 |
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| author | Jardim, Marcos Roa-Leguizamón, Leonardo Martins, Renato Vidal |
| author_facet | Jardim, Marcos Roa-Leguizamón, Leonardo Martins, Renato Vidal |
| contents | We present stability conditions for the category of coherent systems on an integral curve. We define a three-parameter family of pre-stability conditions in its derived category using tilting, and we then investigate when these conditions qualify as true stability conditions. Additionally, we examine the semistability of specific objects under these conditions, namely: torsion, free, and complete tilted systems, without relying on the support property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability conditions for coherent systems on Integral Curves Jardim, Marcos Roa-Leguizamón, Leonardo Martins, Renato Vidal Algebraic Geometry We present stability conditions for the category of coherent systems on an integral curve. We define a three-parameter family of pre-stability conditions in its derived category using tilting, and we then investigate when these conditions qualify as true stability conditions. Additionally, we examine the semistability of specific objects under these conditions, namely: torsion, free, and complete tilted systems, without relying on the support property. |
| title | Stability conditions for coherent systems on Integral Curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.12610 |