Effective characterization of ordinary abelian varieties, and beyond
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918165763588096 |
|---|---|
| author | Baudin, Jefferson |
| author_facet | Baudin, Jefferson |
| contents | We prove that the Albanese morphism of any normal proper variety $X$ in positive characteristic satisfying $S^0(X, ω_X) \neq 0$ and $P_2(X) = 1$ is surjective with connected fibers, adn that $\mathrm{Alb}(X)$ is ordinary. We obtain from a variant of the above a purely positive characteristic proof of Chen and Hacon's effective birational characterization of complex abelian varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19706 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective characterization of ordinary abelian varieties, and beyond Baudin, Jefferson Algebraic Geometry We prove that the Albanese morphism of any normal proper variety $X$ in positive characteristic satisfying $S^0(X, ω_X) \neq 0$ and $P_2(X) = 1$ is surjective with connected fibers, adn that $\mathrm{Alb}(X)$ is ordinary. We obtain from a variant of the above a purely positive characteristic proof of Chen and Hacon's effective birational characterization of complex abelian varieties. |
| title | Effective characterization of ordinary abelian varieties, and beyond |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.19706 |