Completions of Countable Excellent Local Rings in Equal Characteristic Zero
Commutative Algebra
2022-08-10 v1
Abstract
We characterize which complete local (Noetherian) rings T containing the rationals are the completion of a countable excellent local ring S. We also discuss the possibilities for the map from the minimal prime ideals of T to the minimal prime ideals of S and we prove some characterization-style results.
Keywords
Cite
@article{arxiv.2208.04934,
title = {Completions of Countable Excellent Local Rings in Equal Characteristic Zero},
author = {B. Baily and S. Loepp},
journal= {arXiv preprint arXiv:2208.04934},
year = {2022}
}
Comments
15 pages