Ueber hyperelliptische Sigmafunctionen. (Zweite Abhandlung).
The purpose of this paper is to study the connectedness of the Hilbert scheme H(d,g) of degree d and genus g curves (locally Cohen-Macaulay) in P3. Thanks to the method of triads, we show that a large class of curves (the curves whose Rao-module is Koszul, i.e. a complete intersection) are in the connected component of extremal curves. This generalizes widely several recent results.
Nous présentons un exemple de courbe elliptique définie sur ℚ de rang ≥ 22 en détaillant les méthodes qui ont permis cette découverte.