Slicing criterion for ind-smooth ring maps
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929329938628608 |
|---|---|
| author | Tang, Longke |
| author_facet | Tang, Longke |
| contents | We show that ind-smoothness of flat ring maps can be tested on constructible stratifications, even for maps of non-Noetherian rings. We prove this by generalizing ind-smoothness and ind-lci to a sequence of conditions on animated ring maps called ind-$d$-smoothness, and showing all at once that they can be tested on constructible stratifications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Slicing criterion for ind-smooth ring maps Tang, Longke Commutative Algebra We show that ind-smoothness of flat ring maps can be tested on constructible stratifications, even for maps of non-Noetherian rings. We prove this by generalizing ind-smoothness and ind-lci to a sequence of conditions on animated ring maps called ind-$d$-smoothness, and showing all at once that they can be tested on constructible stratifications. |
| title | Slicing criterion for ind-smooth ring maps |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2404.17988 |