On Coble surfaces and their automorphisms
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866911608226185216 |
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| author | Pieroni, Federico |
| author_facet | Pieroni, Federico |
| contents | Given a complex Coble surface $X$ with irreducible boundary $C$, we consider a specific automorphism $T : X \to X$, initially defined by Pompilj. We show that there are two families of Coble surfaces satisfying the condition $T|_C = \mathbb{1}_C$. Every Coble surface $X$ in the first family in nodal, and moreover the stronger equality $T = \mathbb{1}_X$ holds. Meanwhile, the second family is ''small'', since it has codimension $3$ in the moduli space of Coble surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18315 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Coble surfaces and their automorphisms Pieroni, Federico Algebraic Geometry Given a complex Coble surface $X$ with irreducible boundary $C$, we consider a specific automorphism $T : X \to X$, initially defined by Pompilj. We show that there are two families of Coble surfaces satisfying the condition $T|_C = \mathbb{1}_C$. Every Coble surface $X$ in the first family in nodal, and moreover the stronger equality $T = \mathbb{1}_X$ holds. Meanwhile, the second family is ''small'', since it has codimension $3$ in the moduli space of Coble surfaces. |
| title | On Coble surfaces and their automorphisms |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.18315 |