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arXiv · 2212.05848

The universal vector extension of an abeloid variety

Marco Maculan
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Abstract

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.

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Marco Maculan. 2022-12-12. The universal vector extension of an abeloid variety. https://doi.org/10.46298/epiga.2024.10468

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