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| Format: | Preprint |
| Publié: |
2022
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2212.05848 |
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| _version_ | 1866911718735609856 |
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| author | Maculan, Marco |
| author_facet | Maculan, Marco |
| contents | Let $A$ be an abelian variety over a complete non-Archimedean field $K$. The universal cover of the Berkovich space attached to $A$ reflects the reduction behaviour of $A$. In this paper the universal cover of the universal vector extension $E(A)$ of $A$ is described. In a forthcoming paper ( arXiv:2007.04659), this will be one of the crucial tools to show that rigid analytic functions on $E(A)$ are all constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_05848 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The universal vector extension of an abeloid variety Maculan, Marco Algebraic Geometry Let $A$ be an abelian variety over a complete non-Archimedean field $K$. The universal cover of the Berkovich space attached to $A$ reflects the reduction behaviour of $A$. In this paper the universal cover of the universal vector extension $E(A)$ of $A$ is described. In a forthcoming paper ( arXiv:2007.04659), this will be one of the crucial tools to show that rigid analytic functions on $E(A)$ are all constant. |
| title | The universal vector extension of an abeloid variety |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2212.05848 |