Planar, rational curves over ${\mathbb F}_2$ whose only singularity is a double point
Algebraic Geometry
2026-04-21 v3
Abstract
We exhibit planar, rational curves of large degree over that have a unique singular point, which has multiplicity 2. In characteristic 0 such curves exist only for degrees up to . v.2: references updated and examples of supersingular double planes added. v.3: references updated.
Cite
@article{arxiv.2603.04211,
title = {Planar, rational curves over ${\mathbb F}_2$ whose only singularity is a double point},
author = {János Kollár},
journal= {arXiv preprint arXiv:2603.04211},
year = {2026}
}