ndependence of Modular Units on Tate Curves.
Siano , , interi con ; se esiste in una curva connessa, non singolare di grado e genere , allora esiste in una curva irriducibile di grado , genere aritmetico e nodi.
In this note we study deformations of a plane curve singularity (C,P) toδ(C,P) nodes. We see that for some types of singularities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ nodes can be made within the space of curves of the same degree.
Nous donnons un résumé des principaux résultats récents obtenus sur les nœuds algébriques.