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Detalhes bibliográficos
Main Authors: Horiuchi, Jun, Shimomoto, Kazuma
Formato: Preprint
Publicado em: 2020
Assuntos:
Acesso em linha:https://arxiv.org/abs/2004.12017
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Sumário:
  • 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.