Cryptology ePrint Archive: Report 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.

Category / Keywords: Isogenies; post-quantum cryptography; abelian varieties; hyperelliptic-curve cryptography

Date: received 4 Jan 2021

Contact author: smith at lix polytechnique fr

Available format(s): PDF | BibTeX Citation

Version: 20210106:214110 (All versions of this report)

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