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Generalizing Vélu's formulas and some applications

Speaker  Damien Robert

Affiliation  INRIA Bordeaux - Sud-Ouest

Host  Kristin Lauter

Duration  00:57:23

Date recorded  20 October 2010

Vélu's formulas allow to compute an isogeny between elliptic curves from the coordinates of the points in the kernel. In this talk, I describe an algorithm using theta functions to compute an isogeny from its kernel on any abelian variety. I will give specific timings of a genus 2 implementation, and describe some applications.

This is a joint work with Romain Cosset and David Lubicz.

©2010 Microsoft Corporation. All rights reserved.
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> Generalizing Vélu's formulas and some applications