Forms of del Pezzo surfaces of degree 5 and 6
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916113468620800 |
|---|---|
| author | Zaitsev, Alexandr |
| author_facet | Zaitsev, Alexandr |
| contents | In this paper we obtain necessary and sufficient condition for existence of del Pezzo surfaces of degree $5$ and $6$ over a field $K$ with a prescribed action of absolute Galois group $\text{Gal} ( K^{\text{sep}}/K)$ on the graph of $(-1)$-curves. Also we compute automorphism groups of del Pezzo surfaces of degree $5$ over arbitrary fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_04937 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Forms of del Pezzo surfaces of degree 5 and 6 Zaitsev, Alexandr Algebraic Geometry 14J45 In this paper we obtain necessary and sufficient condition for existence of del Pezzo surfaces of degree $5$ and $6$ over a field $K$ with a prescribed action of absolute Galois group $\text{Gal} ( K^{\text{sep}}/K)$ on the graph of $(-1)$-curves. Also we compute automorphism groups of del Pezzo surfaces of degree $5$ over arbitrary fields. |
| title | Forms of del Pezzo surfaces of degree 5 and 6 |
| topic | Algebraic Geometry 14J45 |
| url | https://arxiv.org/abs/2302.04937 |