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Journal Articles RIMS Kôkyûroku Bessatsu Year : 2022

An atlas of the Richelot isogeny graph

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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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Dates and versions

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

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Enric Florit, Benjamin Smith. An atlas of the Richelot isogeny graph. RIMS Kôkyûroku Bessatsu, 2022, Theory and Applications of Supersingular Curves and Supersingular Abelian Varieties, B90, pp.195-219. ⟨hal-03094296v2⟩
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