Computing functions on Jacobians and their quotients

2014/09/01 by Jean-Marc Couveignes, Couveignes, Jean-Marc, Tony Ezome +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.1409.0481

arxiv created 2015/04/04 · arxiv updated 2015/04/07

Abstract

We show how to efficiently compute functions on jacobian varieties and their quotients. We deduce a quasi-optimal algorithm to compute (l,l) isogenies between jacobians of genus two curves.

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