Ce programme calcule des invariants arithmétiques des courbes de genre 2 comme le conducteur de la jacobienne, le discriminant minimal et le groupe des composantes connexes du modèle de Néron. Il donne également le type de réduction stable de la courbe. C'est un équivalent de l'algorithme de Tate pour les courbes elliptiques.
This program computs some numerical invariant of curves of genus 2 as the conductor of the Jacobian, the minimalm discriminant and the group of component of the Néron model. It also determines the potential stable reduction of the curve. It is an equivalent of Tate's algorithm for elliptic curves.
Computing Igusa's invariants (need gp and js.gp).
genus2reduction-0.4.tar.gz; (sources)
I compiled the program for some Operating Systems. If you have Pari
installed in your system, just get {OS}-dynamic.gz. Otherwise,
download {OS}-static.gz which already contains everything you
need. After you get the file you want, do
gunzip file_name.gz
(if necessary)
and
chmod +x file_name
Solaris-static.gz
Solaris-dynamic.gz
OSF1-static.gz
OSF1-dynamic.gz
Linux2.2_glibc2-static.gz
(Kernel 2.2, glibc2=libc6)
Linux_glibc2-dynamic.gz
(Kernel 2.0 or 2.2, glibc2)