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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
Inria Saclay - Ile de France, LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
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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Contributor : Benjamin Smith Connect in order to contact the contributor
Submitted on : Monday, January 4, 2021 - 11:56:57 AM
Last modification on : Thursday, January 7, 2021 - 3:10:45 AM
Long-term archiving on: : Monday, April 5, 2021 - 7:43:29 PM


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  • HAL Id : hal-03094296, version 1
  • ARXIV : 2101.00917


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



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