Frobenius generation for algebraic stacks
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917154679422976 |
|---|---|
| author | Lank, Pat Peng, Fei |
| author_facet | Lank, Pat Peng, Fei |
| contents | This work investigates the Frobenius morphism on derived categories associated with algebraic stacks in positive characteristic. Particularly, we show that in many cases sufficiently many Frobenius pushforwards of a compact generator produce a classical or strong generator for the bounded derived category of coherent sheaves. In the case of Deligne--Mumford stacks, we can bound the number of iterates required. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05026 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frobenius generation for algebraic stacks Lank, Pat Peng, Fei Algebraic Geometry 14A30 (primary), 14A20, 13A35, 14F08 This work investigates the Frobenius morphism on derived categories associated with algebraic stacks in positive characteristic. Particularly, we show that in many cases sufficiently many Frobenius pushforwards of a compact generator produce a classical or strong generator for the bounded derived category of coherent sheaves. In the case of Deligne--Mumford stacks, we can bound the number of iterates required. |
| title | Frobenius generation for algebraic stacks |
| topic | Algebraic Geometry 14A30 (primary), 14A20, 13A35, 14F08 |
| url | https://arxiv.org/abs/2512.05026 |