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arXiv · 2503.18183

On the relative Nullstellensatz in nonarchimedean geometry

Kiran S. Kedlaya·Yutaro Mikami
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Abstract

We establish a relative version of the Nullstellensatz for algebras topologically of finite type over a given Banach Tate ring $A$, under the assumption that the corresponding statement holds for rational localizations of $A$. This applies in particular to pseudoaffinoid algebras and to the coordinate rings of affinoid subspaces of a Fargues--Fontaine curve.

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Kiran S. Kedlaya, Yutaro Mikami. 2025-03-23. On the relative Nullstellensatz in nonarchimedean geometry. https://arxiv.org/abs/2503.18183

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