| Autor: |
Jarod Alper, Jack Hall, Daniel Halpern-Leistner, David Rydh |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Forum of Mathematics, Sigma, Vol 12 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2050-5094 |
| DOI: |
10.1017/fms.2023.60 |
| Popis: |
We give a variant of Artin algebraization along closed subschemes and closed substacks. Our main application is the existence of étale, smooth or syntomic neighborhoods of closed subschemes and closed substacks. In particular, we prove local structure theorems for stacks and their derived counterparts and the existence of henselizations along linearly fundamental closed substacks. These results establish the existence of Ferrand pushouts, which answers positively a question of Temkin–Tyomkin. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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