Generalized Eckardt points on del Pezzo surfaces of degree 1
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911215471558656 |
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| author | Desjardins, Julie Fu, Yu Isham, Kelly Winter, Rosa |
| author_facet | Desjardins, Julie Fu, Yu Isham, Kelly Winter, Rosa |
| contents | We study intersections of exceptional curves on del Pezzo surfaces of degree 1, motivated by questions in arithmetic geometry. Outside characteristics 2 and 3, at most 10 exceptional curves can intersect in a point. We classify the different ways in which 10 exceptional curves can intersect, construct a new family of surfaces with 10 exceptional curves intersecting in a point, and discuss strategies for finding more such examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Eckardt points on del Pezzo surfaces of degree 1 Desjardins, Julie Fu, Yu Isham, Kelly Winter, Rosa Algebraic Geometry Number Theory We study intersections of exceptional curves on del Pezzo surfaces of degree 1, motivated by questions in arithmetic geometry. Outside characteristics 2 and 3, at most 10 exceptional curves can intersect in a point. We classify the different ways in which 10 exceptional curves can intersect, construct a new family of surfaces with 10 exceptional curves intersecting in a point, and discuss strategies for finding more such examples. |
| title | Generalized Eckardt points on del Pezzo surfaces of degree 1 |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2401.08800 |