[Resource Topic] 2021/013: An atlas of the Richelot isogeny graph

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Title:
An atlas of the Richelot isogeny graph

Authors: Enric Florit, 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.

ePrint: https://eprint.iacr.org/2021/013

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