On the Tate conjecture for divisors on varieties with $h^{2,0} = 1$ in positive characteristics
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915313317052416 |
|---|---|
| author | Hamacher, Paul Yang, Ziquan Zhao, Xiaolei |
| author_facet | Hamacher, Paul Yang, Ziquan Zhao, Xiaolei |
| contents | We prove that the Tate conjecture for divisors is ''generically true'' for mod p reductions of complex projective varieties with $h^{2, 0} = 1$, under a mild assumption on moduli. By refining this general result, we establish a new case of the BSD conjecture over global function fields, and the Tate conjecture for a class of general type surfaces of geometric genus 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_11904 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Tate conjecture for divisors on varieties with $h^{2,0} = 1$ in positive characteristics Hamacher, Paul Yang, Ziquan Zhao, Xiaolei Algebraic Geometry Number Theory We prove that the Tate conjecture for divisors is ''generically true'' for mod p reductions of complex projective varieties with $h^{2, 0} = 1$, under a mild assumption on moduli. By refining this general result, we establish a new case of the BSD conjecture over global function fields, and the Tate conjecture for a class of general type surfaces of geometric genus 1. |
| title | On the Tate conjecture for divisors on varieties with $h^{2,0} = 1$ in positive characteristics |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2207.11904 |