Perfectoid Nullstellensatz: Results and counterexamples
Number Theory
2025-08-12 v2 Algebraic Geometry
Abstract
We give necessary conditions and we give sufficient conditions for perfectoid Nullstellensatz to hold. As a consequence, we prove that perfectoid Nullstellensatz does not hold for and other natural p-adic fields.
Cite
@article{arxiv.2212.01901,
title = {Perfectoid Nullstellensatz: Results and counterexamples},
author = {Ian Gleason},
journal= {arXiv preprint arXiv:2212.01901},
year = {2025}
}
Comments
Final version submitted to journal, before editorial modifications