2020/04/24 by Jun Horiuchi, Horiuchi, Jun, Kazuma Shimomoto +1
Mathematics · Social Sciences · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Global Educational Reforms and Inequalities #Rings, Modules, and Algebras
paper · doi:10.48550/arxiv.2004.12017
openalex publication_date 2020/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.