English

A computational proof of the existence of the Dual Isogeny

Number Theory 2023-07-18 v2 Algebraic Geometry

Abstract

For EE an elliptic curve over a perfect field KK, we present a proof of the existence of the dual isogeny ϕ^\hat{\phi} using computational methods linked to V\'elu's formulae instead of the standard Galois correspondence method.

Keywords

Cite

@article{arxiv.2104.09213,
  title  = {A computational proof of the existence of the Dual Isogeny},
  author = {M. Karameris},
  journal= {arXiv preprint arXiv:2104.09213},
  year   = {2023}
}