Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.14508 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913184112181248 |
|---|---|
| author | Yamaguchi, Tatsuki |
| author_facet | Yamaguchi, Tatsuki |
| contents | Inspired by Schoutens' results, we introduce a variant of sharp $F$-purity and sharp $F$-injectivity in equal characteristic zero via ultraproducts. As an application, we show that if $R\to S$ is pure and $S$ is of dense $F$-pure type, then $R$ is of dense $F$-pure type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14508 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $F$-pure and $F$-injective singularities in equal characteristic zero Yamaguchi, Tatsuki Commutative Algebra 03C20, 13A35 (Primary), 14B05 (Secondary), 14J17 Inspired by Schoutens' results, we introduce a variant of sharp $F$-purity and sharp $F$-injectivity in equal characteristic zero via ultraproducts. As an application, we show that if $R\to S$ is pure and $S$ is of dense $F$-pure type, then $R$ is of dense $F$-pure type. |
| title | $F$-pure and $F$-injective singularities in equal characteristic zero |
| topic | Commutative Algebra 03C20, 13A35 (Primary), 14B05 (Secondary), 14J17 |
| url | https://arxiv.org/abs/2312.14508 |