Low degree points on singular plane curves
Fuente:
arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912976589553664 |
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| author | Canale, Zachary R. Chen, Nathan Curewitz, Zoe Daum, Jacob A. Dovgodko, Karina Santiago-Calderón, Carlos F. Yajnik, Shiv R. |
| author_facet | Canale, Zachary R. Chen, Nathan Curewitz, Zoe Daum, Jacob A. Dovgodko, Karina Santiago-Calderón, Carlos F. Yajnik, Shiv R. |
| contents | The purpose of this paper is to study low degree points on plane curves. We prove results analogous to those of Debarre and Klassen for singular plane curves with a finite number $δ$ of ordinary nodes/cusps, where $δ$ is bounded from above by a quadratic function in the degree of the plane curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20529 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Low degree points on singular plane curves Canale, Zachary R. Chen, Nathan Curewitz, Zoe Daum, Jacob A. Dovgodko, Karina Santiago-Calderón, Carlos F. Yajnik, Shiv R. Algebraic Geometry Number Theory 14H51, 11G30 The purpose of this paper is to study low degree points on plane curves. We prove results analogous to those of Debarre and Klassen for singular plane curves with a finite number $δ$ of ordinary nodes/cusps, where $δ$ is bounded from above by a quadratic function in the degree of the plane curve. |
| title | Low degree points on singular plane curves |
| topic | Algebraic Geometry Number Theory 14H51, 11G30 |
| url | https://arxiv.org/abs/2603.20529 |