English

Computing functions on Jacobians and their quotients

Algebraic Geometry 2015-04-07 v3 Number Theory

Abstract

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

Keywords

Cite

@article{arxiv.1409.0481,
  title  = {Computing functions on Jacobians and their quotients},
  author = {Jean-Marc Couveignes and Tony Ezome},
  journal= {arXiv preprint arXiv:1409.0481},
  year   = {2015}
}
R2 v1 2026-06-22T05:45:43.630Z