An atlas of the Richelot isogeny graph - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year :

An atlas of the Richelot isogeny graph

Abstract

We describe and illustrate the local neighbourhoods of vertices and edges in the (2, 2)-isogeny graph of principally polarized abelian surfaces, considering the action of automorphisms. Our diagrams are intended to build intuition for number theorists and cryptographers investigating isogeny graphs in dimension/genus 2, and the superspecial isogeny graph in particular.
Fichier principal
Vignette du fichier
main.pdf (391.64 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03094296 , version 1 (04-01-2021)
hal-03094296 , version 2 (04-01-2021)

Identifiers

Cite

Enric Florit, Benjamin Smith. An atlas of the Richelot isogeny graph. 2021. ⟨hal-03094296v1⟩
199 View
164 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More