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An atlas of the Richelot isogeny graph

Enric Florit 1 Benjamin Smith 2
2 GRACE - Geometry, arithmetic, algorithms, codes and encryption
LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau], Inria Saclay - Ile de France
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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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03094296
Contributor : Benjamin Smith <>
Submitted on : Monday, January 4, 2021 - 3:29:10 PM
Last modification on : Thursday, January 7, 2021 - 3:10:45 AM

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  • HAL Id : hal-03094296, version 2
  • ARXIV : 2101.00917

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Enric Florit, Benjamin Smith. An atlas of the Richelot isogeny graph. 2021. ⟨hal-03094296v2⟩

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