Planar, rational curves over ${\mathbb F}_2$ whose only singularity is a double point
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911605337358336 |
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| author | Kollár, János |
| author_facet | Kollár, János |
| contents | We exhibit planar, rational curves of large degree over ${\mathbb F}_2$ that have a unique singular point, which has multiplicity 2. In characteristic 0 such curves exist only for degrees up to $6$. v.2: references updated and examples of supersingular double planes added. v.3: references updated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04211 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Planar, rational curves over ${\mathbb F}_2$ whose only singularity is a double point Kollár, János Algebraic Geometry We exhibit planar, rational curves of large degree over ${\mathbb F}_2$ that have a unique singular point, which has multiplicity 2. In characteristic 0 such curves exist only for degrees up to $6$. v.2: references updated and examples of supersingular double planes added. v.3: references updated. |
| title | Planar, rational curves over ${\mathbb F}_2$ whose only singularity is a double point |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.04211 |