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arxiv: 1409.0481 · v3 · pith:4LVKPNOXnew · submitted 2014-09-01 · 🧮 math.AG · math.NT

Computing functions on Jacobians and their quotients

classification 🧮 math.AG math.NT
keywords computefunctionsjacobiansquotientsalgorithmcomputingcurvesdeduce
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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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