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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2511.13930 |
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| _version_ | 1866915623889534976 |
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| author | Bernal, Daniel Martinez, Cristian |
| author_facet | Bernal, Daniel Martinez, Cristian |
| contents | Following the setup proposed by Jardim-Maciocia-Martinez in the case of the projective space, we study some numerical and actual Bridgeland walls for the (twisted) Chern character $v=(-R,0,D,0)$ in certain half-plane of stability conditions, where walls are nested and finite. We give bounds for the largest numerical wall that may appear. When $R=0$, these bounds in particular produce the first known bounds for the Gieseker chamber in the case of a threefold. We also study the cases $R=0$ and $D=3,4$ in detail using a small algorithm in Python. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13930 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bridgeland walls destabilizing one-dimensional space sheaves Bernal, Daniel Martinez, Cristian Algebraic Geometry Following the setup proposed by Jardim-Maciocia-Martinez in the case of the projective space, we study some numerical and actual Bridgeland walls for the (twisted) Chern character $v=(-R,0,D,0)$ in certain half-plane of stability conditions, where walls are nested and finite. We give bounds for the largest numerical wall that may appear. When $R=0$, these bounds in particular produce the first known bounds for the Gieseker chamber in the case of a threefold. We also study the cases $R=0$ and $D=3,4$ in detail using a small algorithm in Python. |
| title | Bridgeland walls destabilizing one-dimensional space sheaves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.13930 |