Frobenius actions on Del Pezzo surfaces of degree 2
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917562421346304 |
|---|---|
| author | Bergvall, Olof |
| author_facet | Bergvall, Olof |
| contents | We determine the number of Del Pezzo surfaces of degree 2 over finite fields of odd characteristic with specified action of the Frobenius endomorphism, i.e. we solve the "quantitative inverse Galois problem". As applications we determine the number of Del Pezzo surfaces of degree 2 with a given number of points and recover results of Banwait-Fité-Loughran and Loughran-Trepalin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_12855 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Frobenius actions on Del Pezzo surfaces of degree 2 Bergvall, Olof Algebraic Geometry Number Theory 14J26, 14J10, 05E18, 14F20 We determine the number of Del Pezzo surfaces of degree 2 over finite fields of odd characteristic with specified action of the Frobenius endomorphism, i.e. we solve the "quantitative inverse Galois problem". As applications we determine the number of Del Pezzo surfaces of degree 2 with a given number of points and recover results of Banwait-Fité-Loughran and Loughran-Trepalin. |
| title | Frobenius actions on Del Pezzo surfaces of degree 2 |
| topic | Algebraic Geometry Number Theory 14J26, 14J10, 05E18, 14F20 |
| url | https://arxiv.org/abs/2211.12855 |