Pure transcendental, immediate valuation ring extensions as limits of smooth algebras
Commutative Algebra
2025-02-26 v9 Algebraic Geometry
Abstract
We show that a pure transcendental, immediate extension of valuation rings containing a field is a filtered union of smooth -subalgebras of .
Keywords
Cite
@article{arxiv.2206.00472,
title = {Pure transcendental, immediate valuation ring extensions as limits of smooth algebras},
author = {Dorin Popescu},
journal= {arXiv preprint arXiv:2206.00472},
year = {2025}
}
Comments
This version will appear in Manuscripta Math