English

Isogenies on Kummer Surfaces

Number Theory 2024-09-24 v1

Abstract

We first give a cleaner and more direct approach to the derivation of the Fast model of the Kummer surface. We show how to construct efficient (N,N)-isogenies, for any odd N, both on the general Kummer surface and on the Fast model.

Cite

@article{arxiv.2409.14819,
  title  = {Isogenies on Kummer Surfaces},
  author = {Maria Corte-Real Santos and E. Victor Flynn},
  journal= {arXiv preprint arXiv:2409.14819},
  year   = {2024}
}

Comments

38 pages, 2 figures. To appear in Mathematics of Computation

R2 v1 2026-06-28T18:53:26.022Z