Geodesic
The universal vector extension of an abeloid variety
Épijournal de Géométrie Algébrique, Tome 8 (2024)

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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.
DOI : 10.46298/epiga.2024.10468
Classification : 14G22, 14G45, 14K05 
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     author = {Maculan, Marco},
     title = {The universal vector extension of an abeloid variety},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     year = {2024},
     doi = {10.46298/epiga.2024.10468},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2024.10468/}
}
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Maculan, Marco. The universal vector extension of an abeloid variety. Épijournal de Géométrie Algébrique, Tome 8 (2024). doi: 10.46298/epiga.2024.10468

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