Computing isogenies from modular equations in genus two

29 Oct 2020 Kieffer Jean LFANT Page Aurel LFANT Robert Damien LFANT

We present an algorithm solving the following problem: given two genus 2 curves over a field k with isogenous Jacobians, compute such an isogeny explicitly. This isogeny can be either an l-isogeny or, in the real multiplication case, an isogeny with cyclic kernel; we require that k have large enough characteristic and that the curves be sufficiently generic... (read more)

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Categories


  • ALGEBRAIC GEOMETRY
  • NUMBER THEORY