Explicit supersingular cyclic curves
Number Theory
2025-05-21 v2 Algebraic Geometry
Abstract
Li, Mantovan, Pries, and Tang proved the existence of supersingular curves over Fpbar in each of the special families of curves in Moonen's classification. Their proof does not provide defining equations of these curves. We make some of their results explicit using the reductions modulo p of previously computed curves with complex multiplication.
Cite
@article{arxiv.2501.14902,
title = {Explicit supersingular cyclic curves},
author = {Marco Streng},
journal= {arXiv preprint arXiv:2501.14902},
year = {2025}
}