The universal vector extension of an abeloid variety

Marco Maculan

doi:10.46298/epiga.2024.10468

The universal vector extension of an abeloid variety

Algebraic Geometry 2026-05-27 v2

Authors: Marco Maculan

View on arXiv ↗ PDF ↗ DOI ↗

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.

Keywords

abelian variety universal vector extension berkovich space universal cover non-archimedean field rigid analytic functions

Cite

@article{arxiv.2212.05848,
  title  = {The universal vector extension of an abeloid variety},
  author = {Marco Maculan},
  journal= {arXiv preprint arXiv:2212.05848},
  year   = {2026}
}

Comments

This is the first part of arXiv:2007.04659 which is now split into two

The universal vector extension of an abeloid variety

Abstract

Keywords

Cite

Comments

Related papers