EN FR
EN FR


Section: New Software and Platforms

AVIsogenies

Participants : Damien Robert [correspondent] , Gaëtan Bisson, Romain Cosset [Inria project-team Caramel ] .

http://avisogenies.gforge.inria.fr/ .

AVIsogenies (Abelian Varieties and Isogenies) is a Magma package for working with abelian varieties, with a particular emphasis on explicit isogeny computation.

Its prominent feature is the computation of (,)-isogenies between Jacobian varieties of genus-two hyperelliptic curves over finite fields of characteristic coprime to ; practical runs have used values of in the hundreds.

It can also be used to compute endomorphism rings of abelian surfaces, and find complete addition laws on them.

  • Version: 0.6

  • License: LGPL v2.1+

  • Programming language: Magma