### An atlas of the Richelot isogeny graph

Enric Florit and Benjamin Smith

##### 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.

Available format(s)
Publication info
Preprint. MINOR revision.
Keywords
Isogeniespost-quantum cryptographyabelian varietieshyperelliptic-curve cryptography
Contact author(s)
smith @ lix polytechnique fr
History
Short URL
https://ia.cr/2021/013

CC BY

BibTeX

@misc{cryptoeprint:2021/013,
author = {Enric Florit and Benjamin Smith},
title = {An atlas of the Richelot isogeny graph},
howpublished = {Cryptology ePrint Archive, Paper 2021/013},
year = {2021},
note = {\url{https://eprint.iacr.org/2021/013}},
url = {https://eprint.iacr.org/2021/013}
}

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