Weak normality and seminormality in the mixed characteristic case
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866910035965116416 |
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| author | Horiuchi, Jun Shimomoto, Kazuma |
| author_facet | Horiuchi, Jun Shimomoto, Kazuma |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2004_12017 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Weak normality and seminormality in the mixed characteristic case Horiuchi, Jun Shimomoto, Kazuma Commutative Algebra Algebraic Geometry 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. |
| title | Weak normality and seminormality in the mixed characteristic case |
| topic | Commutative Algebra Algebraic Geometry |
| url | https://arxiv.org/abs/2004.12017 |