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An atlas of the Richelot isogeny graph


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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Dates and versions

hal-03094296 , version 1 (04-01-2021)
hal-03094296 , version 2 (04-01-2021)



Enric Florit, Benjamin Smith. An atlas of the Richelot isogeny graph. 2021. ⟨hal-03094296v1⟩
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