Integral points on singular del Pezzo surfaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908365693648896 |
|---|---|
| author | Derenthal, Ulrich Wilsch, Florian |
| author_facet | Derenthal, Ulrich Wilsch, Florian |
| contents | In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type $\mathbf{A}_1+\mathbf{A}_3$ and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_06778 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Integral points on singular del Pezzo surfaces Derenthal, Ulrich Wilsch, Florian Number Theory Algebraic Geometry 11D45 (Primary), 11G35, 14G05, 14J26 (Secondary) In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type $\mathbf{A}_1+\mathbf{A}_3$ and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines. |
| title | Integral points on singular del Pezzo surfaces |
| topic | Number Theory Algebraic Geometry 11D45 (Primary), 11G35, 14G05, 14J26 (Secondary) |
| url | https://arxiv.org/abs/2109.06778 |