Some examples of moduli spaces on surfaces via wall-crossing
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915491984965632 |
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| author | Vilches, Nicolás |
| author_facet | Vilches, Nicolás |
| contents | We describe new explicit examples of moduli spaces of Bridgeland semistable objects on surfaces, parametrizing objects whose numerical class agrees with the class of a point. This follows ideas of Tramel and Xia, using stability conditions constructed in our previous work.
Our main technical tools are a careful analysis of the wall-crossing from the geometric chamber, and explicit models for the differential graded Lie algebra governing the local structure of the moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some examples of moduli spaces on surfaces via wall-crossing Vilches, Nicolás Algebraic Geometry 14F08, 14D15, 14D23 We describe new explicit examples of moduli spaces of Bridgeland semistable objects on surfaces, parametrizing objects whose numerical class agrees with the class of a point. This follows ideas of Tramel and Xia, using stability conditions constructed in our previous work. Our main technical tools are a careful analysis of the wall-crossing from the geometric chamber, and explicit models for the differential graded Lie algebra governing the local structure of the moduli spaces. |
| title | Some examples of moduli spaces on surfaces via wall-crossing |
| topic | Algebraic Geometry 14F08, 14D15, 14D23 |
| url | https://arxiv.org/abs/2509.10269 |