English

Compactifications of rigid analytic spaces through formal models

Algebraic Geometry 2023-06-21 v2 Number Theory

Abstract

We provide a new construction of Huber's universal compactification in the case of the structure morphism of a quasi-compact, separated rigid analytic space over a non-archimedean field. We make use of Raynaud's theory of formal models and Temkin's relative Riemann--Zariski spaces.

Keywords

Cite

@article{arxiv.2306.09141,
  title  = {Compactifications of rigid analytic spaces through formal models},
  author = {Mateusz Kobak},
  journal= {arXiv preprint arXiv:2306.09141},
  year   = {2023}
}

Comments

19 pages; added section 3.6

R2 v1 2026-06-28T11:05:58.978Z