On the relative Nullstellensatz in nonarchimedean geometry
Algebraic Geometry
2025-12-30 v2 Number Theory
Abstract
We establish a relative version of the Nullstellensatz for algebras topologically of finite type over a given Banach Tate ring , under the assumption that the corresponding statement holds for rational localizations of . This applies in particular to pseudoaffinoid algebras and to the coordinate rings of affinoid subspaces of a Fargues--Fontaine curve.
Keywords
Cite
@article{arxiv.2503.18183,
title = {On the relative Nullstellensatz in nonarchimedean geometry},
author = {Kiran S. Kedlaya and Yutaro Mikami},
journal= {arXiv preprint arXiv:2503.18183},
year = {2025}
}
Comments
9 pages, accepted version, to appear in Research in Number Theory