An atlas of the Richelot isogeny graph
Number Theory
2021-01-06 v2
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.
Keywords
Cite
@article{arxiv.2101.00917,
title = {An atlas of the Richelot isogeny graph},
author = {Enric Florit and Benjamin Smith},
journal= {arXiv preprint arXiv:2101.00917},
year = {2021}
}