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arXiv · 2101.00917

An atlas of the Richelot isogeny graph

Enric Florit·Benjamin Smith
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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.

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Enric Florit, Benjamin Smith. 2021-01-04. An atlas of the Richelot isogeny graph. https://arxiv.org/abs/2101.00917

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