Generic vanishing theory in positive characteristic
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913921404764160 |
|---|---|
| author | Baudin, Jefferson |
| author_facet | Baudin, Jefferson |
| contents | We simplify and improve the main fundamental theorems of positive characteristic generic vanishing theory. As a quick corollary of the theory, we prove that a normal variety $X$ of maximal Albanese dimension satisfies $H^0(X, ω_X) \neq 0$ and that if $\mathrm{Alb}(X)$ is ordinary, then $S^0(X, ω_X) \neq 0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00771 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generic vanishing theory in positive characteristic Baudin, Jefferson Algebraic Geometry 14K05, 14G17, 14F17 We simplify and improve the main fundamental theorems of positive characteristic generic vanishing theory. As a quick corollary of the theory, we prove that a normal variety $X$ of maximal Albanese dimension satisfies $H^0(X, ω_X) \neq 0$ and that if $\mathrm{Alb}(X)$ is ordinary, then $S^0(X, ω_X) \neq 0$. |
| title | Generic vanishing theory in positive characteristic |
| topic | Algebraic Geometry 14K05, 14G17, 14F17 |
| url | https://arxiv.org/abs/2507.00771 |