The universal vector extension of an abeloid variety

2022/12/12 by Marco Maculan
Computer Science · Engineering · #math.AG

paper · pdf · doi:10.46298/epiga.2024.10468

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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