Section: New Software and Platforms

CMH

Participant : Emmanuel Thomé [contact] .

In collaboration with the Lfant project-team, Inria Bordeaux – Sud-Ouest, we develop the CMH software package and library, which holds code for computing Igusa class polynomials. Those characterize principally polarized abelian varieties of dimension 2 having complex multiplication by the ring of integers of a quartic CM field.

The source repository of CMH is publicly available for download, and is referenced from the software page at http://cmh.gforge.inria.fr/ .

Version 1.0 has been released in March 2014, simultaneously with the publication of a computation record.