Section: New Results

Isogeny graphs for curves with maximal real multiplication

Participant : Emmanuel Thomé [contact] .

Emmanuel Thomé and Sorina Ionica (currently with the Lfant project-team) worked on a new algorithm for computing isogeny graphs for Jacobians of curves having the special property that the intersection of their endomorphism ring with its real subfield is maximal. The resulting algorithm is the first depth-first algorithm for this task. This work has been submitted [29] .