An atlas of the Richelot isogeny graph

Enric Florit; Benjamin Smith

Paper 2021/013

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.

Metadata

Available format(s): PDF
Publication info: Preprint. MINOR revision.
Keywords: Isogenies post-quantum cryptography abelian varieties hyperelliptic-curve cryptography
Contact author(s): smith @ lix polytechnique fr
History: 2021-01-06: received
Short URL: https://ia.cr/2021/013
License: 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}
}