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arXiv · 2603.04211

Planar, rational curves over ${\mathbb F}_2$ whose only singularity is a double point

János Kollár
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Abstract

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.

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János Kollár. 2026-03-04. Planar, rational curves over ${\mathbb F}_2$ whose only singularity is a double point. https://arxiv.org/abs/2603.04211

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