Explicit supersingular cyclic curves
Abstract
Li, Mantovan, Pries, and Tang proved the existence of supersingular curves over F p ¯ \overline {\mathbb {F}_p} 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 p of previously computed curves with complex multiplication.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Cryptography and Residue Arithmetic
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Pages
- 339–343
- Publication date
- 1 May 2026
- Language
- EN