Distributivity, affineness, and the structure sheaf
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908981209858048 |
|---|---|
| author | Jiang, Andy Stevenson, Greg |
| author_facet | Jiang, Andy Stevenson, Greg |
| contents | We observe that for a quasi-compact and quasi-separated scheme the structure sheaf generates the perfect complexes if and only if the lattice of thick subcategories is distributive if and only if the affinization map is 0-affine. Examples are discussed, including an example of a quasi-projective scheme which is not quasi-affine but for which these equivalent conditions hold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18793 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distributivity, affineness, and the structure sheaf Jiang, Andy Stevenson, Greg Algebraic Geometry Category Theory We observe that for a quasi-compact and quasi-separated scheme the structure sheaf generates the perfect complexes if and only if the lattice of thick subcategories is distributive if and only if the affinization map is 0-affine. Examples are discussed, including an example of a quasi-projective scheme which is not quasi-affine but for which these equivalent conditions hold. |
| title | Distributivity, affineness, and the structure sheaf |
| topic | Algebraic Geometry Category Theory |
| url | https://arxiv.org/abs/2604.18793 |