Weak normality and seminormality in the mixed characteristic case
Commutative Algebra
2026-03-03 v3 Algebraic Geometry
Abstract
In this article, we give a few examples of local rings in relation to weak normality and seminormality in mixed characteristic. It is known that two concepts can differ in the equal prime characteristic case, while they coincide in the equal characteristic zero case. No explicit examples seem to be documented in the existing literature in the mixed characteristic case. We also establish the local Bertini theorem for weak normality in mixed characteristic under a certain condition.
Keywords
Cite
@article{arxiv.2004.12017,
title = {Weak normality and seminormality in the mixed characteristic case},
author = {Jun Horiuchi and Kazuma Shimomoto},
journal= {arXiv preprint arXiv:2004.12017},
year = {2026}
}
Comments
Final version: to appear in J. Commutative Algebra