Contractibility of the geometric stability manifold of a surface
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914805700362240 |
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| author | Rekuski, Nick |
| author_facet | Rekuski, Nick |
| contents | Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible. We then use this result to demonstrate infinitely many new families of surfaces whose stability manifold is contractible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10499 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Contractibility of the geometric stability manifold of a surface Rekuski, Nick Algebraic Geometry 14F08, 14J60, 18G80 Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible. We then use this result to demonstrate infinitely many new families of surfaces whose stability manifold is contractible. |
| title | Contractibility of the geometric stability manifold of a surface |
| topic | Algebraic Geometry 14F08, 14J60, 18G80 |
| url | https://arxiv.org/abs/2310.10499 |