Asymptotics of immaculate line bundles on smooth toric Deligne-Mumford stacks
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929326952284160 |
|---|---|
| author | Borisov, Lev Duncan, Alexander |
| author_facet | Borisov, Lev Duncan, Alexander |
| contents | A line bundle is immaculate if its cohomology vanishes in every dimension. We give a criterion for when a smooth toric Deligne-Mumford stack has infinitely many immaculate line bundles. This answers positively a question of Borisov and Wang. As a byproduct, we describe the asymptotic behaviour of the collection of immaculate line bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02885 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asymptotics of immaculate line bundles on smooth toric Deligne-Mumford stacks Borisov, Lev Duncan, Alexander Algebraic Geometry 14M25, 14C20, 14F17 A line bundle is immaculate if its cohomology vanishes in every dimension. We give a criterion for when a smooth toric Deligne-Mumford stack has infinitely many immaculate line bundles. This answers positively a question of Borisov and Wang. As a byproduct, we describe the asymptotic behaviour of the collection of immaculate line bundles. |
| title | Asymptotics of immaculate line bundles on smooth toric Deligne-Mumford stacks |
| topic | Algebraic Geometry 14M25, 14C20, 14F17 |
| url | https://arxiv.org/abs/2312.02885 |